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

Algebra ->  Probability-and-statistics -> Questions on Algebra: Probability and statistics answered by real tutors!      Log On


   



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


Question 1162376: For this problem find the mean as well as the Standard Deviation.
X 0 1 2 3 4
P(x) .07 .20 .38 .22 .13
I was able to get the mean by using formula X= xp(x)=0(0.7)+1(.20) +2(.38) +3 (.22) +4(.13) which added all together gave me a mean of 2.14
For the standard deviation I keep getting confused on whether or not I'm inputting it correctly and cannot get the answer (0-2.14) squared(0) + (1-2.14) squared (.20) + (2-2.14)Squared and I just don't think I'm doing it right can you help me solve this last half please?

Click here to see answer by solver91311(24713) About Me 

Question 1162377: For this problem find the expected value.
A company is selling raffle benefit tickets for $4 each. The first prize is $3500,
and the second prize is $500. 5000 tickets total are sold.
X 3496 496 -4
P(x) 1/5000 1/5000 4998/5000


Click here to see answer by solver91311(24713) About Me 

Question 1162299: A soft drink company is running a promotion giving away free mp3 downloads,
using the liners under the cap of the bottles. They have decided to have 15% of
the bottles contain a winning liner. The production line randomly mixes the
bottles into 6-pack cases.
a) Create the probability distribution in table and graphical format for the
number of winning liners in a 6-pack case.

Click here to see answer by greenestamps(13327) About Me 

Question 1162384: For the following problem use the table below to determine the probability and Leave Answers as Fractions
I think I got this I just need to know If I'm Right.
I tried to word the table so all the values would line up right. Hope it's clear.
Days exercising 0-1 2-3 4-5 6-7
Male Exercise 40 53 26 6
Femaleexercise 34 68 37 11
Find the probability that the individual was a male
and exercised 2-3 days/week.

First I totaled up the sums for male and female as well as days per week
So Now my Table looks like this:
Day exercising 0-1 2-3 4-5 6-7
Male exercise 40 53 26 6 =125
Femaleexercise 34 68 37 11= 150
Totals are =74 =121 = 63 =17 =275
Next I went and starting with the male column went over to the right to 2-3 days a week where (53) is listed took that and went to my total of 275 since the formula is P= Male Exercised 2-3 over the Total I got the Answer 53/275
Next Find the probability that the person exercised 4-5
days/week , given that the individual was female.
Same thing again so my table now looks like this
Days exercise 0-1 2-3 4-5 6-7
Male Exercise 40 53 26 6 =125
FemaleExercise 34 68 37 11= 150
=74 =121 = 63 =17 =275
However Because This Problem Says GIVEN that the Individual was Female I shrink my sample size and focus only on the Female side. So 150 becomes total and if I go to days per week exercising and move right until I get to 4-5 days then come back down to female I see the value is 37 so for this problem
Answer is (p=37/150)
Is this correct?
Finally, the last part as
Find the probability that the individual was female’ given they exercised 4-5 days per week.
Days exercising 0-1 2-3 4-5 6-7
Male exercise 40 53 26 6
Femaleexercise 34 68 37 11
This Time Days of the Week Exercising becomes my denominator specifically 4-5 days which gives me a total of 63 and I see if I follow the female column over to this area the value is 37 once again.
Answer P=37/63
Is this Correct?
Thanks for your help. I do hope this post wasn't too much

Click here to see answer by ikleyn(53751) About Me 

Question 1162391: A person invests $5000 in an account at 3% interest com- pounded annually.
The value V (in) of the account after t years is described by V = 500011.032.
Find the value of the account after 10 years.

Click here to see answer by ikleyn(53751) About Me 

Question 1162385: How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains gave the following weights (pounds):
65 109 130 128 60 64
Assume that the population of x values has an approximately normal distribution.
(a) Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s. (Round your answers to one decimal place.)
x =
lb
s =
lb
(b) Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)
lower limit
lb
upper limit
lb

Click here to see answer by ikleyn(53751) About Me 

Question 1146892: The finance department of a particular company has 15 employees, 6 of whom have MBA degrees. Suppose we select three different employees sequentially at random from this department. Determine the probability of the following events.
a) The first employee has an MBA, given that there is a total of one MBA among all three employees.
b) There are exactly two employees with an MBA, given that the first employee has an MBA.
c) The first employee has an MBA, given that there is at least one MBA among all three employees.

Click here to see answer by womansecret13(1) About Me 
Question 1146892: The finance department of a particular company has 15 employees, 6 of whom have MBA degrees. Suppose we select three different employees sequentially at random from this department. Determine the probability of the following events.
a) The first employee has an MBA, given that there is a total of one MBA among all three employees.
b) There are exactly two employees with an MBA, given that the first employee has an MBA.
c) The first employee has an MBA, given that there is at least one MBA among all three employees.

Click here to see answer by ikleyn(53751) About Me 
Question 1146892: The finance department of a particular company has 15 employees, 6 of whom have MBA degrees. Suppose we select three different employees sequentially at random from this department. Determine the probability of the following events.
a) The first employee has an MBA, given that there is a total of one MBA among all three employees.
b) There are exactly two employees with an MBA, given that the first employee has an MBA.
c) The first employee has an MBA, given that there is at least one MBA among all three employees.

Click here to see answer by Edwin McCravy(20077) About Me 

Question 1162349: A survey of 1000 people were asked whether they wear eyeglasses while driving.
These people were also tested to see whether they need to wear eyeglasses
while driving.
440 wear glasses and need to wear them
20 wear glasses and do not need to wear them
140 don't wear glasses but need to wear them
400 don't wear glasses and don't need to wear them
What is the probability that they wear glasses while driving even though they
do not need to wear them?

Click here to see answer by ikleyn(53751) About Me 

Question 1162324: Find the p-value for the following hypothesis test.

H0: μ≥20, H1: μ<20, n=80, x¯=18.75, σ=4.5

Click here to see answer by Edwin McCravy(20077) About Me 

Question 1162400: We are gives two urns follows:
Un A contains 6 red marbles, 2 white marbles and 3 blue marbles.
Urn B contains 4 red marbles, 5 white marbles and 1 blue marble.

Click here to see answer by greenestamps(13327) About Me 

Question 1162401: We are gives two urns follows:
Un A contains 6 red marbles, 2 white marbles and 3 blue marbles.
Urn B contains 4 red marbles, 5 white marbles and 1 blue marble.
A fair die is tossed; if1 or 5 appears, a marble is chosen from urn B,
otherwise a marbles is chosen from urn A. find the probability that:
A red marble is chosen.
A white marble is chosen.
A blue marble is chosen.

Click here to see answer by greenestamps(13327) About Me 

Question 1162402: A person invests $5000 in an account at 3% interest com- pounded annually. The value V (in) of the account after t years is described by V = 500011.032 . Find the value of the account after 10 years.

Click here to see answer by greenestamps(13327) About Me 

Question 1162380: general motors reports that 70 percent of leased vehicles are returned with less than 36,000 miles. a recent sample of 200 vehicles returned at the end of their lease showed 158 had less than 36,000 miles. has the proportion increased?
Click here to see answer by Theo(13342) About Me 

Question 1162406: Sam and Dana have bet money on a card game they are playing against each other. Sam pays $1 to play, and Dana pays $4. They will shuffle a deck of cards and flip over the top card. If the top card is a heart, club, or diamond, Dana gets all $5. If the top card is a spade, then Sam gets all $5.
-What is the expected value of this game to Dana?
-If they play this game 10 times, what is the expected profit/loss for Sam?
-Is it beneficial for Sam to play this game? Justify your answer with a complete sentence.

Click here to see answer by Edwin McCravy(20077) About Me 

Question 1162416: Leave answers as Fractions. Indicate whether it is an ADD or
Multiply.
You are dealt a hand of five cards from a standard deck of 52 cards.
Find the probability your hand has 1 four AND 1 diamond?

Click here to see answer by Alan3354(69443) About Me 

Question 1162415: Let E, F and G be three events in S with P(E) = 0.55, P(F) = 0.4, P(G) = 0.45, P(E ∩ F) = 0.3, P(E ∩ G) = 0.2, P(F ∩ G) = 0.15, and P(E ∩ F ∩ G) = 0.1. Find P(EC ∪ F ∪ G),P(E ∪ FC ∪ G) and P(E ∪ F ∪ GC).
Click here to see answer by ikleyn(53751) About Me 

Question 1162428: P(E)=0.35, P(F)=0.35, P(E ∩ F)=0.15 and P((E ∪ F)c)=0.45. Find P(E ∩ FC|F)

Click here to see answer by ikleyn(53751) About Me 

Question 1162429: please solve step by step

Click here to see answer by math_helper(2461) About Me 

Question 1162419: Find the mean and standard deviation. Show all work.
0 1 2 3 4
.07 .20 .38 .22 .13

Click here to see answer by Boreal(15235) About Me 

Question 1162407: A national caterer determined that 37% of the people who sampled their food said that it was delicious. A random sample of 144 people is obtained from a population of 5000. The 144 people are asked to sample the caterer's food. If P-hat is the sample proportion saying that the food is delicious, what is the standard deviation of the sampling distribution of the sample proportion, p-hat?
Click here to see answer by Boreal(15235) About Me 

Question 1162321: A tire company makes the claim that at least 70% of its customers believed that their car performed better after installing its tires. A sample of 100 customers showed that 60% believed that their car performed better. If the company’s claim is to be tested, state the null and alternative hypothesis.
Click here to see answer by Boreal(15235) About Me 

Question 1162320: A grocer wants to test if the mean amount of money spent by all customers at his store is less than $100. Determine the value of the test statistic at the 0.01 significance level if a sample of 20 people produced a mean of $98 with a standard deviation of $3.
Click here to see answer by Boreal(15235) About Me 

Question 1162315: The sugar producers association wants to estimate the mean yearly sugar consumption. A sample of 25 people reveals the mean yearly consumption to be 27 kg with a sample standard deviation pf 90kg. Assume a normal population. Develop a 99% confidence interval for the annual consumption pf sugar.
Click here to see answer by Boreal(15235) About Me 

Question 1162361: Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 127 eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted.
Probability that fewer than 33 voted

Click here to see answer by Boreal(15235) About Me 

Question 1162308: The pH value of 5 water samples taken from a small lake follow: 7.3, 7.6, 7.2, 7.9, and 7.8. The true standard deviation of water of the lake is unknown. A 95% upper confidence interval for the pH is:
Click here to see answer by Boreal(15235) About Me 

Question 1162462: In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?
Click here to see answer by ikleyn(53751) About Me 

Question 1162486: Assume that military aircraft use ejection seats designed for men weighing between 148.1 lb and 204 lb. If​ women's weights are normally distributed with a mean of 162.2 lb and a standard deviation of 46.8 ​lb, what percentage of women have weights that are within those​ limits? Are many women excluded with those​ specifications?
The percentage of women that have weights between those limits is
nothing​%.
​(Round to two decimal places as​ needed.)

Click here to see answer by Boreal(15235) About Me 

Question 1162511: this problem 9!/8!=9! is false because, why?
Click here to see answer by math_helper(2461) About Me 

Question 1162510: The following box contains the
9
9 letters shown. The letters are drawn​ one-by-one without​ replacement, and the results are recorded in order. Find the probability of the outcome
APPELLATE

Click here to see answer by math_helper(2461) About Me 

Question 1162492: 1. Name two ways that you can decrease the width of a confidence interval? Why does doing each make the confidence interval smaller? (Hint: You cannot change the standard deviation on a confidence interval.)
Click here to see answer by Edwin McCravy(20077) About Me 

Question 1162539: The probabilities that a randomly
selected home has garage space for 0, 1, 2, or 3 cars
are 0.22, 0.33, 0.37, and 0.08, respectively.

Click here to see answer by ikleyn(53751) About Me 

Question 1162550: How is the coefficient correlation, r, related to the scatterplot?
Click here to see answer by ikleyn(53751) About Me 

Question 1162549: Describe the two quantitative variables that you believe may be correlated. Include whether you believe that they will be positively or negatively correlated.
Click here to see answer by ikleyn(53751) About Me 

Question 1162548: Explain how knowing the correlation or regression equation can be useful in making decisions or predictions
Click here to see answer by ikleyn(53751) About Me 

Question 1162491: Anna and Rose Farm is deciding whether to protect their pot flowers with metal-framed greenhouses which cost P500,000. Regardless of the greenhouse, the harvests could be sold for P2,000,000 under continued good weather. However, should there be strong typhoons and no greenhouses were placed, flowers could only be sold for P1000,000. With the greenhouses set up and typhoons affecting the flowers of other farms, harvest could be sold at P3,000,000. What must be the probability that there is continued good weather for Anna and Rose Farm to be indifferent to spending the additional cost of the greenhouses?
Click here to see answer by solver91311(24713) About Me 

Question 1162546: The mean starting salary for college graduates in the spring of 2019 was QR 36,280. Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of QR 3,300. What percent of the graduates have starting salaries:
a. More than QR 36,280?
b. Between QR 40,000 and QR 45,000?

Click here to see answer by Boreal(15235) About Me 

Question 1162495: 4. You are a quality control officer for a hair-dryer company. If the percentage of defective hair- dryers that you test is statistically greater than 5%, then you have to get rid of the batch. You collect a simple random sample of 157 hair dryers and find that 9 of them are defective. Conduct a hypothesis test with a 𝛼𝛼 =.05 level of significance to determine if greater than 5% of the hair dryers are defective. Write all non-calculation answers in complete sentences.
a. Which test would you use and why?
b. Write the null and alternative hypothesis in complete sentences. (Make sure you mark
which is the null and which is the alternative.)
c. Write the null and alternative hypothesis as symbols.
d. State the requirements that have been met to run the test.
e. What is the test statistic and the p-value? (Make sure you use the right notation.)
f. Should you reject or fail to reject the null hypothesis?
g. State the conclusion for the test.
h. According to the results of your hypothesis test, should you get rid of the batch. Explain
your reasoning based upon the hypothesis test

Click here to see answer by Boreal(15235) About Me 

Question 1162461: A food snack manufacture samples 15 bags of pretzels off the assembly line and weighed their contents if the sample mean is 10.2 And the sample standard deviation is 0.25 what is the 95% confidence interval of the true mean
Click here to see answer by Boreal(15235) About Me 

Question 1162311: You need to test μ = 50 v s H 1 ; μ > 50. The Z test statistic is found to be 2.03. The P value of the test should be:
Click here to see answer by Boreal(15235) About Me 

Question 1162494: 3. Write a short scenario in which you demonstrate a type 1 error. State what the null hypothesis and discuss how you know an error is made.
Click here to see answer by Alan3354(69443) About Me 

Question 1162571: three yam tubers are chosen at random from 15 tubers of which 5 are spoilt. find the probability that;
(a) none is spoilt
(b) all are spoilt
(c) exactly one is spoilt
(d) at least one is spoilt

Click here to see answer by ikleyn(53751) About Me 

Question 1162596: In a certain apartment building, apartments can
come with 2, 3, or 4 bedrooms; they can have
1 or 2 bathrooms; and they can be located on
the lower, middle, or upper level. How many
different types of apartments are possible if
any number of bedrooms, bathrooms, and
locations can be combined?

Click here to see answer by greenestamps(13327) About Me 

Question 1162572: three yam tubers are chosen at random from 15 tubers of which 5 are spoilt. find the probability that;
(a) none is spoilt
(b) all are spoilt
(c) exactly one is spoilt
(d) at least one is spoilt

Click here to see answer by ikleyn(53751) About Me 

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, 51346..51390, 51391..51435, 51436..51480, 51481..51525