Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1193151: There are three sets of traffic lights on Zimmerβs journey to work. The independent probabilities that Zimmer has to stop at the first, second and third sets of lights are 0.4, 0.8 and 0.3 respectively.
a) Draw a tree diagram to show this information.
b) Find the probability that Zimmer has to stop at the first and third sets of lights but
does not have to stop at the second set.
c) Find the probability that Zimmer has to stop at exactly two of the three sets of lights.
d) Find the probability that Zimmer has to stop at the second set of lights, given that he
has to stop at exactly two sets of lights.
I have done a and b, however stuck on c and d...
Click here to see answer by ikleyn(52752)   |
Question 1193150: Suppose you roll a pair of six-sided dice and add their totals.
1. What is the probability that the sum of the numbers on your dice is an even number or a number less than 6?
2. What is the probability that the sum of the numbers on your dice is a prime number or a number greater than 5?
Click here to see answer by ikleyn(52752) |
Question 1193150: Suppose you roll a pair of six-sided dice and add their totals.
1. What is the probability that the sum of the numbers on your dice is an even number or a number less than 6?
2. What is the probability that the sum of the numbers on your dice is a prime number or a number greater than 5?
Click here to see answer by Frederick94(1) |
Question 1193177: If a consumer complaint is received, what is the probability that the cause of the complaint was product appearance given that the complaint originated during the guarantee period? Please help calculate the conditional probability P(A|B), where A represents the event that the cause of a particular complaint is product appearance and B represents the event that the complaint occurred during the guarantee period.
Distribution of Product Complaints
Reason for Complaint
Electrical % Mechanical % Appearance % Totals %
During Guarantee Period 18 13 32 63
After Guarantee Period 12 22 3 37
Totals 30 35 35 100
Click here to see answer by math_tutor2020(3816) |
Question 1193177: If a consumer complaint is received, what is the probability that the cause of the complaint was product appearance given that the complaint originated during the guarantee period? Please help calculate the conditional probability P(A|B), where A represents the event that the cause of a particular complaint is product appearance and B represents the event that the complaint occurred during the guarantee period.
Distribution of Product Complaints
Reason for Complaint
Electrical % Mechanical % Appearance % Totals %
During Guarantee Period 18 13 32 63
After Guarantee Period 12 22 3 37
Totals 30 35 35 100
Click here to see answer by Theo(13342)  |
Question 1193176: Let π and π be two independent random variables with means 2.2 and 3.6 and
variances 1.2 and 2.5. Calculate:
i) πΈ(3π + 2π)
ii) πππ(4π β 2π + 4) (Hint: πππ(π β π) = πππ(π + (β1)π)
Click here to see answer by math_tutor2020(3816) |
Question 1193182: A sociologist found that in a sample of 50 retired men, the average number of jobs they had during their lifetimes was 7.2. The population standard deviation is 2.1.
a) Find the best point estimate of the mean.
b) Find the 95% confidence interval of the mean number of jobs.
c) Find the 99% confidence interval of the mean number of jobs.
Click here to see answer by Boreal(15235)  |
Question 1193182: A sociologist found that in a sample of 50 retired men, the average number of jobs they had during their lifetimes was 7.2. The population standard deviation is 2.1.
a) Find the best point estimate of the mean.
b) Find the 95% confidence interval of the mean number of jobs.
c) Find the 99% confidence interval of the mean number of jobs.
Click here to see answer by math_tutor2020(3816) |
Question 1193175: Jim is a real estate agent who sells large commercial buildings. Because his commission is so large on a single sale, he does not need to sell many buildings to make a good living. History shows that Jim has a record of selling an average of 7.1 large commercial buildings every 267 days.
In a 70-day period, what is the probability that Jim will make no sales? one sale? two or more sales? (Use two decimal places for π. Round your answers to four decimal places.)
P(0)=
P(1)=
P(r β₯ 2)=
In a 93-day period, what is the probability that Jim will make no sales? two sales? three or more sales? (Use two decimal places for π. Round your answers to four decimal places.)
P(0)
P(2)
P(r β₯ 3)
Click here to see answer by Boreal(15235) |
Question 1193144: A publisher wants to estimate the mean length of timeβ (in minutes) all adults spend reading newspapers. To determine thisβ estimate, the publisher takes a random sample of 15 people and obtains the results below. From pastβ studies, the publisher assumes sigma is 1.7 minutes and that the population of times is normally distributed.
11 6 6 11 7 9 8 9 12 6 10 7 8 9 9
Construct the 90% and 99% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals. The 90% confidence interval is ___ (Round to one decimal place as needed)
Click here to see answer by Boreal(15235) |
Question 1193130: Samantha is about to take a final exam that consists of 20 questions. To motivate her to study, her parents promised her $1500 if she gets at least 16 questions right. The questions are multiple choice and the probability of her getting a question right is 0.85 on each question of the final exam.
a) What is the probability that she gets exactly 16 questions right?
b) What is the probability that she gets at least 16 questions right?
c) What is the expected value of reward in dollars for her on this exam?
Show steps, list all numbers the calculator gives in the answer, and do not round answers.
Click here to see answer by Boreal(15235) |
Question 1193184: A random sample of 50 four-year-oldβs attending day care centers provided a yearly tuition average of $3987 and the population standard deviation of $630. Find the 90% confidence interval of the true mean.
The growing seasons for a random sample of 35 U.S. cities were recorded, yielding a sample mean of 190.7 days and the population standard deviation of 54.2 days. Estimate the true mean population of the growing season with 95% confidence.
In a hospital study, the mean noise level in the 171 ward areas was 58.0 decibels, and the Population standard deviation is 4.8. Find the 90% confidence interval of the true mean.
A health care professional wishes to estimate the birth weights of infants. How large a sample must be obtained if she desires to be 90% confident that the true mean is within 2 ounces of the sample mean? Assume π = 8 ounces.
A pizza shop owner wishes to find the 95% confidence interval of the true mean cost of a large plain pizza. How large should the sample be if she wishes to be accurate to within $0.15? A previous study showed that the standard deviation of the price was $0.26.
A meteorologist who sampled 13 thunderstorms found that the average speed at which they traveled across a certain state was 15 miles per hour. The standard deviation of the sample was 1.7 miles per hour. Find the 99% confidence interval of the mean.
A recent survey of 8 social networking sites has a mean of 13.1 million visitors for a specific month. The standard deviation was 4.1 million. Find the 95% confidence interval of the true mean.
For a group of 22 college football players, the mean heart rate after a morning workout session was 86 beats per minute, and the standard deviation was 5. Find the 90% confidence interval of the true mean for all college football players after a workout session.
Click here to see answer by ikleyn(52752) |
Question 1193204: Giving a test to a group of students, the grades and gender are summarized below
Grades and Gender
A B C Total
Male 13 11 6 30
Female 3 19 20 42
Total 16 30 26 72
If one student is chosen at random, find the probability that the student was female OR got an "C". Round your answer to 4 decimal places.
Click here to see answer by ikleyn(52752) |
Question 1193207: The A survey of 41 randomly selected "iPhone" owners showed that the purchase price has a mean of $414 with a sample standard deviation of $180.
a. Compute the standard error of the sample mean. (Round the final answer to the nearest whole number.)
b. Compute the 80% confidence interval for the mean. (Round the final answers to 2 decimal places.)
The confidence interval is between $
and $
c. How large a sample is needed to estimate the population mean within $13 at a 80% degree of confidence? (Round the final answer to the nearest whole number.)
Click here to see answer by math_tutor2020(3816) |
Question 1193195: My apologies, I did not submit the whole problem. I could really use any assistance. Thank you. I appreciate the help. I believe I should be using a t-score but how when I do not know how to get the population mean.
A nutrition expert claims that the average American is overweight. To test his claim, a random sample of 26 Americans was selected, and the difference between each person's actual weight and idea weight was calculated. For this data, we have xΒ―=15.3 and s=27.5. Is there sufficient evidence to conclude that the expert's claim is true? Carry out a hypothesis test at a 2% significance level. Hint: Pay attention to the variable being measured: the difference between actual weight and ideal. A positive value indicates that the person is overweight.
A. Give the value of the standardized test statistic (give to 3 decimal places):
B. The p-value is (give to 4 decimal places):
Click here to see answer by math_tutor2020(3816) |
Question 1193195: My apologies, I did not submit the whole problem. I could really use any assistance. Thank you. I appreciate the help. I believe I should be using a t-score but how when I do not know how to get the population mean.
A nutrition expert claims that the average American is overweight. To test his claim, a random sample of 26 Americans was selected, and the difference between each person's actual weight and idea weight was calculated. For this data, we have xΒ―=15.3 and s=27.5. Is there sufficient evidence to conclude that the expert's claim is true? Carry out a hypothesis test at a 2% significance level. Hint: Pay attention to the variable being measured: the difference between actual weight and ideal. A positive value indicates that the person is overweight.
A. Give the value of the standardized test statistic (give to 3 decimal places):
B. The p-value is (give to 4 decimal places):
Click here to see answer by Theo(13342) |
Question 1193230: A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 10ml are dispensed. Suppose that the average amount dispensed in a particular sample of 35 bottles is 8.92ml with a variance of 0.24 ml
Click here to see answer by ikleyn(52752) |
Question 1193246: Aqua Running has been promoted as a method for cardiovascular conditioning for the injured athlete as well as for others who desire a low impact aerobic workout. A study reported in the Journal of Sports Medicine investigated the relationship between exercise cadence and heart rate by measuring the heart rates of 20 healthy volunteers at a cadence of 48 cycles per minute (a cycle consisted of two steps).
The data are listed here:
87 109 79 80 96 95 90 92 96 98
101 91 78 112 94 98 94 107 81 96
a. Compute for the lower quartile.
b. Compute for the upper quartile
Click here to see answer by ikleyn(52752) |
Question 1193246: Aqua Running has been promoted as a method for cardiovascular conditioning for the injured athlete as well as for others who desire a low impact aerobic workout. A study reported in the Journal of Sports Medicine investigated the relationship between exercise cadence and heart rate by measuring the heart rates of 20 healthy volunteers at a cadence of 48 cycles per minute (a cycle consisted of two steps).
The data are listed here:
87 109 79 80 96 95 90 92 96 98
101 91 78 112 94 98 94 107 81 96
a. Compute for the lower quartile.
b. Compute for the upper quartile
Click here to see answer by math_tutor2020(3816) |
Question 1193222: Assume that the per capita consumption of bottled water in the United States is approximately normally
distributed with a mean of 35.2 gallons and a standard deviation of 10 gallons.
a) What is the probability that someone in the United States consumed more than 33 gallons of
bottled water in 2018?
Click here to see answer by ikleyn(52752) |
Question 1193212: Assume that the per capita consumption of bottled water in the United States is approximately normally
distributed with a mean of 35.2 gallons and a standard deviation of 10 gallons.
a) What is the probability that someone in the United States consumed more than 33 gallons of
bottled water in 2018?
b) What is the probability that someone in the United States consumed between 10 and 25 gallons
of bottled water in 2018?
c) What is the probability that someone in the United States consumed less than 12 gallons of
bottled water in 2018?
d) 97.5% percent of the people in the United States consumed less than how many gallons of bottled
water?
e) 67% of the people in the United States consumed greater than how many gallons of bottled
water?
Click here to see answer by ikleyn(52752) |
Question 1193248: Erikaβs teacher summarized the achievement test results of her class in the table below. If Erika belongs to this class and her score is 76, does she belong to the upper 25% of her class? Justify your answer.
Score _ f
90-99 _ 3
80-89 _ 4
70-79 _ 6
60-69 _ 11
50-59 _ 8
40-49 _ 5
30-39 _ 3
Click here to see answer by greenestamps(13195)  |
Question 1193247: Erikaβs teacher summarized the achievement test results of her class in the table below. If Erika belongs to this class and her score is 76, does she belong to the upper 25% of her class? Justify your answer.
Score f
90-99 3
80-89 4
70-79 6
60-69 11
50-59 8
40-49 5
30-39 3
Click here to see answer by math_tutor2020(3816) |
Question 1193219: I have done i,ii,iii just need v but unsure if right
The random variable π is given by the sum of the scores when two ordinary dice are thrown. For this experiment:
i) Write down the sample space π.
ii) Draw a table to show the probability distribution and the cumulative
distribution of π.
iii) Write down the probability function of π.
iv) Draw a vertical line graph to illustrate the probability distribution of π(with probability on the y-axis and π- values on the x-axis) and describe the shape of the distribution. (You may use excel or simply draw by hand on paper)
v) Evaluate the following. You must show your working (you may use Excel where possible to show working)
1. π(π>8)
2. π(|πβ7|<3)
3. πΈ(π)
4. πππ(π)
A.i)
Dices 1 2 3 4 5 6
1 1,1 1,2 1,3 1,4 1,5 1,6
2 2,1 2,2 2,3 2,4 2,5 2,6
3 3,1 3,2 3,3 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6 sample space = 36
ii. X 1 2 3 4 5 6
P(X=x) 1/36 3/36 5/36 7/36 9/36 11/36
P(x) 1/36 4/36 9/36 16/36 25/36 1
iii.
P(X=x) {1/36 x = 1
3/36 x = 2
5/36 x = 3
7/36 x = 4
9/36 x = 5
11/36 x = 6. this right ??
v. is here but unsure if is right
7 8 9 10 11 12
v. 13/36 15/36 17/36 19/36 21/36 23/36
1 π(π>8) = P ( Xβ₯9) F(9) =2.25 49/36=1.36 64/36=1.78 81/36=2.25 100/36=2.78 121/36=3.36 144/36=4
2 π(|πβ7|<3)
3 πΈ(π)= 10.63 x p(x) xp(x) x^2 p(x) (x-m)^2P(X)
or 4.472 1 0.027 0.27 0.03
4 Var(x) =71.001216 2 0.11 0.22 0.44
1^2=1 3 0.25 0.75 2.25
2^2=4 4 0.44 1.76 7.04
3^2=9 5 0.69 3.45 17.25
4^2=16 6 1 6 36
5^2=25 βp(x)=2.52 βxp(x)=10.63 βx^2p(x) = 63.01
6^2=36
91-4.472^2
Click here to see answer by ikleyn(52752) |
Question 1193260: (a) Among the three coins, one has heads on both the face the second has tails on both the faces, and the thi has a head on one face and a tail on the other. a coin chosen at random and tossed. the result is a head. what is the probability that the opposite face is
Click here to see answer by ikleyn(52752) |
Question 1193277: (a) Among the three coins, one has heads on both the faces the second has tails on both the faces, and the third has a head on one face and a tail on the other. A coin chosen at random and tossed. The result is a head. What is the probability that the opposite face is a tail?
Click here to see answer by ikleyn(52752) |
Question 1193226: A random sample of 50 four-year-oldβs attending day care centers provided a yearly tuition average of $3987 and the population standard deviation of $630. Find the 90% confidence interval of the true mean.
Click here to see answer by Boreal(15235) |
Question 1193213: a) Past records indicate that the probability of online retail orders that turn out to be fraudulent is
0.06. Suppose that, on a given day, 10 online retail orders are placed. Assume that the number of
online retail orders that turn out to be fraudulent is distributed as a binomial random variable.
I. What are the mean and standard deviation of the number of online retail orders that turn out to
be fraudulent?
II. What is the probability that zero online retail orders will turn out to be fraudulent?
III. What is the probability that greater than or equal two online retail order will turn out to be
fraudulent?
b) According to the recent research 52% of American adults own tablets. If you survey 7 American
adults. Find the probability of
I. Four will own a tablet
II. No-one own tablet
III. At least two will own a tablet
Click here to see answer by Boreal(15235) |
Question 1193194: Good evening, may I please have help with this problem. I'm stuck. I would use a t-score, but I do not understand how to get the population mean. Thank you in advance. I so appreciate it.
A nutrition expert claims that the average American is overweight. To test his claim, a random sample of 26 Americans was selected, and the difference between each person's actual weight and idea weight was calculated. For this data, we have xΒ―=15.3 and s=27.5. Is there sufficient evidence to conclude that the expert's claim is true? Carry out a hypothesis test at a 2% significance level. Hint: Pay attention to the variable being measured: the difference between actual weight and ideal. A positive value indicates that the person is overweight.
Click here to see answer by Boreal(15235) |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345
|
