Questions on Algebra: Probability and statistics answered by real tutors!

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 1185098: A six-sided die is printed with the numbers 1,2,3,5,8 and 13. Roll the dice
once- what is the probability of getting an even number?
roll the die twice and add the numbers; what is the probability of getting
an odd sum?
Click here to see answer by Edwin McCravy(20054)

Question 1185104: Of the population of customers of a store, a proportion of 0.4 are not
satisfied with the service offered by the store. In a random sample of 400
customers, what is the probability that between 156 and 240 customers will be
satisfied with the service offered by the store?
Click here to see answer by Edwin McCravy(20054)

Question 1185090: A sales clerk in a departmental store claims that 45% of the shoppers entering the store leave without making a purchase. A random sample of 60 shoppers showed that 40 of them left without buying anything. Can we accept the clerk's claim at α=5% level of significance?
The test value is:
Click here to see answer by Boreal(15235)

Question 1185112: Suppose it costs $48 to roll a pair of dice. You get paid $7 times the sum of the numbers that appear on the dice. Is it a fair game?
Click here to see answer by ikleyn(52750)

Question 1185100: A normal distribution has a mean of 20 and a standard deviation of 10. Two scores are sampled randomly from the distribution and the second score is subtracted from the first. What is the probability that the difference score will be greater than 5? Hint: Read the Variance Sum Law section of Chapter 3.
Click here to see answer by ikleyn(52750)

Question 1184991: If X~N(m,sigma^2),prove that
P(a < X < b)=F((b-m)/sigma)-F((a-m)/sigma)
and
P(| X − m|> a sigma)=2(1 − F(a)),where F(X) DENOTES THE STANDARD NORMAL DISTRIBUTION FUNCTION
Click here to see answer by robertb(5830)

Question 1185120: A cage contains six rats, two of them are white (W) and four of them are
brown (B).
A second cage contains four rats, two white and two brown;
and a third cage contains five rats, three white and two brown.
If one rat is randomly selected from each cage,
a) What is the probability that all three rats are white?
b) What is the probability that exactly two of the three will be brown?
c) What is the probability of selecting at least two white rats?
Click here to see answer by Edwin McCravy(20054)

Question 1185152: The cadet engineers of a service company consists of 60% electrical engineers and 40% civil engineers. A random sample of 8 engineers is selected. What is the probability that among the engineers in the sample at least 7 are electrical engineers?
Click here to see answer by Boreal(15235)

Question 1185172: 1) A card is selected from a deck of 48 cards. There are 4 colors (red, yellow, blue, and green) with 16 cards of each color.
Use expected value to find the probability of the following:
a). The card being yellow
b). The card being blue
2.a) How would the game be a fair game?
b) How would the game favor the player?
c) How would the game favor the creator?

Click here to see answer by ikleyn(52750)

Question 1185168: A deck of cards has 52, including 4 kings. Determine probability of getting 2 kings.
2 / 52 = 0.0384 = 3.84 = 4%
Not sure. Where am I correct ?
Click here to see answer by ikleyn(52750)

Question 1185180: Assume the resting heart rates for a sample of individuals are normally distributed with a mean of 85

and a standard deviation of 15
.
Use the 68-95-99.7 rule to find the following quantities.
Click here to see answer by ikleyn(52750)

Question 1185183: 1) A card is selected from a deck of 64 cards. There are 4 colors (red, yellow, blue, and green) with 16 cards of each color.
Use expected value to find the probability of the following:
a). The card being yellow
b). The card being blue
2.a) How would the game be a fair game?
b) How would the game favor the player?
c) How would the game favor the creator?
Click here to see answer by Edwin McCravy(20054)

Question 581758: a computer program consists of two blocks written independently by two different programmers. the first block has an error with probability .2. the second block has an error with probability .3. if the program returns an error, what is probability that there is an error in both blocks?
Click here to see answer by avadhut007(1)

Question 1185197: explain and calculate the probability of a wet day being followed by a sunny day in cape town based on the individual
Click here to see answer by greenestamps(13195)

Question 1185197: explain and calculate the probability of a wet day being followed by a sunny day in cape town based on the individual
Click here to see answer by Alan3354(69443)

Question 1185205: The Earth Sciences Club at Wild West College consists of ten geologists, nine astronomers, five biologists, and seven physicists. Four members of the club are to be chosen (at random) to attend a conference. What is the probability that four physicists will be chosen?
Click here to see answer by ikleyn(52750)

Question 1184668: In a simple random sample of 1000 people, 261 are left-handed. Find a 95% confidence interval for the true proportion of left-handed people in the entire population
Click here to see answer by Boreal(15235)

Question 1185208: The average dividend yield of a random sample of 25 JSE listed companies this year was found to be 14.5%, with a sample standard deviation of 3.4%. Assume that dividend yields are normally distributed.
(a) Calculate, with 90% confidence, the actual mean dividend yield of all JSE listed companies this year. Interpret finding and show all steps.
(b) Calculate, with 95% confidence, the actual mean dividend yield of all JSE listed companies this year. Compare the interval with one calculated in 3.1.1 and show all the steps.
Click here to see answer by Boreal(15235)

Question 1184670: 300 hundred eggs were randomly chosen from a gravid female Salmon and individually weighted. The mean weight was 0.978g with a standard deviation of 0.042. Find the 95% confidence interval for the mean weight of the salmon eggs.
Click here to see answer by Boreal(15235)

Question 1185201: Draw a Venn diagram and use the given information to fill in the number of elements in each region. n(A)=15, n(A ∩ B ∩ C)=6, n(A ∩ C)=13, n(A ∩ B′)=8, n(B ∩ C)=11, n(A′ ∩ B′ ∩ C′)=19, n(B ∩ C′)=3, n(B ∪ C)=33
Click here to see answer by Edwin McCravy(20054)

Question 1185223: A data set has a mean of x̄ = 77 and a standard deviation of 10.8
Find the z-score for each of the following:
(a) x=85
(b) x=95
(c) x=50
(d) x=75
Click here to see answer by MathLover1(20849)

Question 1184534: A jury pool has 25 men and 15 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the probability that the jury consists of (give answers for example rounded to two decimal places)
(a) 8 men and 4 women
(b) 6 men and 6 women
Click here to see answer by greenestamps(13195)

Question 1184531: A group of History faculty at the local college consists of 8 women and 10 men. Four people are to be selected to go to a conference.
In how many ways can four women be chosen from the group of 8 women (which means all in the group are women)?

How many different ways can a group of four people be selected from this group of 18?

What is the probability that all women will be chosen to attend the conference?
Enter a fraction or decimal (at least rounded to 4 decimal places).

Click here to see answer by greenestamps(13195)

Question 1185260: A bag contains 3 red marbles, 6 blue marbles, and 1 white marble. the marbles are selected at random, one at a time, and ARE replaced. find the probability of....
A- blue and red
B- blue and not red
Click here to see answer by Alan3354(69443)

Question 1185258: In a multiple choice exam, there are 5 questions and 4 choices for each question (a, b, c, d). Nancy has not studied for the exam at all and decides to randomly guess the answers. (Round your answers to four decimal places.)
What is the probability that the first question she gets right is the 2nd question?
Click here to see answer by ikleyn(52750)

Question 1185244: . In estimating the mean breaking strength, in kilograms, of a new synthetic fishing line, the data were coded by substracting 10 from each observation. Find the sample mean for 5 of these lines of the coded measurements are 0.4, -0.2, 1.5, 1.8, and -0.7.
Click here to see answer by ikleyn(52750)

Question 1185243: 1. A pupil attending university for the first time examined the previous year’s
statistics. He saw that 70% of the students passed mathematics, 30% passed
chemistry and 80% passed at least one of the two subjects. The pupil takes both maths and chemistry. If x=probability that the pupil takes both the subject, draw a Venn diagram to determine the percentage of passing
a) Both
b) Just one subject
c) Neither.

Click here to see answer by ikleyn(52750)

Question 1185309: Chain rule) Show that
P(An ... AI) ::.:: P(An 1An-I'……AI)' .. P(A2 [ AI)P(AI)
Click here to see answer by ikleyn(52750)

Question 1185310: Suppose that 30% of all voters prefer Candidate A.
If 6 people are chosen at random for a poll, what is the probability that fewer than 5 of them favor Candidate A?
Probability =
(Please show your answer to 4 decimal places)
Click here to see answer by ikleyn(52750)

Question 1185312: If a seed is planted, it has a 70% chance of growing into a healthy plant.
If 6 seeds are planted, what is the probability that at least 3 grow into a healthy plant?
Probability =
(Please show your answer to 4 decimal places)
Click here to see answer by ikleyn(52750)

Question 1185311: A local county has an unemployment rate of 8%. A random sample of 19 employable people are picked at random from the county and are asked if they are employed. Find the probability that exactly 5 in the sample are unemployed. (The distribution is a binomial. Round your answers to 4 decimal places.)
Click here to see answer by ikleyn(52750)

Question 1185314: A large fast-food restaurant is having a promotional game where game pieces can be found on various products. Customers can win food or cash prizes. According to the company, the probability of winning a prize (large or small) with any eligible purchase is 0.15.
Consider your next 20 purchases that produce a game piece. Calculate the following:
This is a binomial distribution. Give your answers to 4 decimal places.
a) What is the probability that you win 5 prizes?
b) What is the probability that you win more than 7 prizes?
c) What is the probability that you win between 4 and 6 (inclusive) prizes?
d) What is the probability that you win 4 prizes or fewer?

Click here to see answer by ikleyn(52750)

Question 1185329: What is C|L?
Click here to see answer by ikleyn(52750)

Question 1185273: A test involving 320 men ages 20 to 24 found that their blood cholesterol levels had a mean of 187 mg/dl and a standard deviation of 44.8 mg/dl.

(a) Determine the z-score, to the nearest hundredth, for one of the men who had a blood cholesterol level of 214 mg/dl.
z214 = ________

(b) The z-score for one man was
−1.51
What was his blood cholesterol level? Round to the nearest hundredth.
= _______ mg/dl
Click here to see answer by Theo(13342)

Question 1185302: we want to estimate the mean of a population a random sample of subjects is selected and the sample mean is competed what is the probability that the sample mean is within 3 units of the true mean if the standard error is 1.8
Click here to see answer by Theo(13342)

Question 1185358: Helene ran for 2 hours and burned 60 calories. On another day Helene ran for 5 hours and burned 90 calories. The slope is:

Incorrect: Your answer is incorrect.
The y-intercept is:
Click here to see answer by josgarithmetic(39613)

Question 1185355: Assume Binomial Distribution with n = 11 and p = 0.6. Please give your answers to 4 decimal places.

P(X = 2) =
P(X ≤ 2) =
P(X < 2) =
P(X > 2) =
P(X ≥ 2) =
Click here to see answer by ikleyn(52750)

Question 1185398: An insurance company is interested in knowing the occupation and gender of the residents of Ivy Park in Polokwane. The results are summarized in Table 1.
Table 1

Occupation

Gender
Male

Female
Teacher

20

46
Farmer

18

6
Business owner

12

8

The probability that a person picked at random is a farmer is or a business owner is_______
Click here to see answer by ikleyn(52750)

Question 1185435: Suppose you just purchased a digital music player and have put tracks on it. After listening to them you decide that you like of the songs. With the random feature on your player, each of the songs is played once in random order. Find the probability that among the first two songs played
(a) You like both of them. Would this be unusual?
(b) You like neither of them.
(c) You like exactly one of them.
(d) Redo (a)-(c) if a song can be replayed before all songs are played.
Click here to see answer by ikleyn(52750)

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, 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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, 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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, 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