Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1202907: A 31-year-old woman purchases a 200,000 term life insurance policy for an annual payment of $400. Based on a period life table for the U.S. government, the probability that she will survive the year is 0.999053 . Find the expected value of the policy for the insurance company. Round to two decimal places for currency problems.
The expected value of the policy for the insurance company is:
Click here to see answer by ikleyn(52750)   |
Question 1202885: ch 8 12
Based on all student records at Camford University, students spend an average of 5.80 hours per week playing organized sports. The population’s standard deviation is 3.50 hours per week. Based on a sample of 64 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates.
a. Compute the standard error of the sampling distribution of sample means. (Round your answer to 2 decimal places.)
b. What is the chance HLI will find a sample mean between 5 and 6.6 hours? (Round your z-and standard error values to 2 decimal places. Round your intermediate values and final answer to 4 decimal places.)
c. Calculate the probability that the sample mean will be between 5.4 and 6.2 hours. (Round your z-and standard error values to 2 decimal places. Round your intermediate values and final answer to 4 decimal places.)
Click here to see answer by Theo(13342)  |
Question 1202897: . (a) A bag contains 16 identical balls of which 4 are green. A boy picks a ball at random from the bag and replaces it. If this is repeated 5 times, what is the probability that he: (i) did not pick a green ball: (ii) picked a green ball at least three times?
Click here to see answer by greenestamps(13195)  |
Question 1202884: ch 8 #11
A normal population has a mean of $79 and standard deviation of $20. You select random samples of nine.
a. Apply the central limit theorem to describe the sampling distribution of the sample mean with n = 9. With the small sample size, what condition is necessary to apply the central limit theorem?
b. What is the standard error of the sampling distribution of sample means? (Round your answer to 2 decimal places.)
c. What is the probability that a sample mean is greater than $82? (Round z-value to 2 decimal places and final answer to 4 decimal places.)
d. What is the probability that a sample mean is less than $75? (Round z-value to 2 decimal places and final answer to 4 decimal places.)
e. What is the probability that a sample mean is between $75 and $82? (Round z-value to 2 decimal places and final answer to 4 decimal places.)
f. What is the probability that the sampling error (x⎯− μ) would be $9 or more? That is, what is the probability that the estimate of the population mean is less than $70 or more than $88? (Round z-value to 2 decimal places and final answer to 4 decimal places.)
Click here to see answer by Theo(13342) |
Question 1202922: Suppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.
G1 = the first card drawn is green
G2 = the second card drawn is green
a. P(G1 and G2) =
b. P(At least 1 green) =
c. P(G2|G1) =
d. Are G1 and G2 independent
Click here to see answer by Theo(13342) |
Question 1202936: The owner of Britten’s Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 15 chickens shows they produced an average of 22 eggs per month with a standard deviation of 7 eggs per month.
What is the value of the population mean
What is the best estimate of this value?
For a 90% confidence interval, what is the value of t?
What is the margin of error?
Develop the 90% confidence interval for the population mean
Click here to see answer by Theo(13342) |
Question 1202936: The owner of Britten’s Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 15 chickens shows they produced an average of 22 eggs per month with a standard deviation of 7 eggs per month.
What is the value of the population mean
What is the best estimate of this value?
For a 90% confidence interval, what is the value of t?
What is the margin of error?
Develop the 90% confidence interval for the population mean
Click here to see answer by math_tutor2020(3816) |
Question 1202937: A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 54 of the 795 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible.
With 99% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between
Click here to see answer by Theo(13342) |
Question 1202940: **Please help***
8-10
Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $116,000. This distribution follows the normal distribution with a standard deviation of $36,000.
c. What is the likelihood of selecting a sample with a mean of at least $122,000? (Round your z-value to 2 decimal places and final answer to 4 decimal places.)
d. What is the likelihood of selecting a sample with a mean of more than $106,000? (Round your z-value to 2 decimal places and final answer to 4 decimal places.)
e. Find the likelihood of selecting a sample with a mean of more than $106,000 but less than $122,000. (Round your z-value to 2 decimal places and final answer to 4 decimal places.)
Click here to see answer by Theo(13342) |
Question 1202947: We wish to estimate what percent of adult residents in a certain county are parents. Out of 500 adult residents sampled, 325 had kids. Based on this, construct a 95% confidence interval for the proportion p of adult residents who are parents in this county.
Express your answer in tri-inequality form. Give your answers as decimals, to three places.
______< p < _____
Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places.
p = (.65) |plus or minus| __________
Click here to see answer by Theo(13342) |
Question 1202947: We wish to estimate what percent of adult residents in a certain county are parents. Out of 500 adult residents sampled, 325 had kids. Based on this, construct a 95% confidence interval for the proportion p of adult residents who are parents in this county.
Express your answer in tri-inequality form. Give your answers as decimals, to three places.
______< p < _____
Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places.
p = (.65) |plus or minus| __________
Click here to see answer by math_tutor2020(3816) |
Question 1202944: The mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 4 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible.
What is the minimum number of days for the upper quarter of the time to pass a kidney stone ?
Click here to see answer by ikleyn(52750) |
Question 1202946: The amount of syrup that people put on their pancakes is normally distributed with mean 55 mL and standard deviation 11 mL. Suppose that 40 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible.
For the group of 40 pancake eaters, find the probability that the average amount of syrup is between 55.1 mL and 56 mL
Click here to see answer by Grelavio(5) |
Question 1202945: The amount of syrup that people put on their pancakes is normally distributed with mean 55 mL and standard deviation 11 mL. Suppose that 40 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible.
If a single randomly selected individual is observed, find the probability that this person consumes is between 55.1 mL and 56 mL
Click here to see answer by Grelavio(5) |
Question 1202943: Private nonprofit four-year colleges charge, on average, $26,843 per year in tuition and fees. The standard deviation is $6,971. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.
What is the 66th percentile for this distribution?
Click here to see answer by Grelavio(5) |
Question 1202957: A man travel to work either by car or by bus. If he goes by car the probability that he will be late is 1/5, but if he goes by bus the probability is 1/4.
(a) if he travels by car every day for four successive days, what is the probability that he will be late only once?
(b) if he is twice likely to travel by bus as by car, what is the probability that he will be late on a particular day.
What I have tried.
a)P(late by car)=1/5
P(late by bus)=1/4
P(late once)= P(on time for 3 days)
Let the days on time be: A,B,C,D
Let the day of late be: À, ß, Ç, d
Therefore,
P(on time for 3 days)= (A×B×C×d)+(A×B×Ç×D)+(A×ß×C×D)+(À×B×C×D)
P(on time for 3 days)= ((4/5)³×1/5)×4
P(on time for 3 days)= (Probability of late once)= 256/625.
b) let
A,B= days traveled by car
C,D= days traveled by bus
P(late on a particular day)= (A×B×C×d)+(A×B×Ç×D)+(A×ß×C×D)+(À×B×C×D)
P(late on a particular day)= ((1/5)²×(3/4×1/4))×2+((1/4)²×4/5×1/5)×2
P(late on a particular day)= 7/200.
However, I'm not sure of my answer.
Click here to see answer by greenestamps(13195) |
Question 1202769: An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of 3.5 non-work-related e-mails per hour. Assume the arrival of these e-mails is approximated by the Poisson distribution.
a. What is the probability Linda Lahey, company president, received exactly 4 non-work-related e-mails between 4 p.m. and 5 p.m. yesterday?
b. What is the probability she received 6 or more non-work-related e-mails during the same period?
c. What is the probability she received four or less non-work-related e-mails during the period?
Click here to see answer by Boreal(15235)  |
Question 1203005: the overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8.9 cm . a. find the probability that an individual distance is greater than 210.90 cm. b. find the probability that the mean 15 for randomly selected distances is greater than 196.20 cm c. why can the normal distribution be used in part (b), even though the sample size does 30?
Click here to see answer by Theo(13342) |
Question 1203003: Scores on a test are normally distributed with a mean of 78 and a standard deviation of 6. A student is selected at random. Which has the greatest probability?
Select one:
a.
The student's score is greater that 89.
b.
The student's score is less than 69.
c.
The student's score is between 63 and 72.
d.
The student's score is between 78 and 81.
Click here to see answer by Theo(13342) |
Question 1203023: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40%
of this population prefers the color green. If 20
buyers are randomly selected, what is the probability that exactly a fifth of the buyers would prefer green? Round your answer to four decimal places.
Click here to see answer by Theo(13342) |
Question 1203035: The duration of a professor's class has a continuous uniform distribution between 50.0 minutes and 52.0 minutes. If one class is randomly selected, find the probability that the professor's class duration is between 50.6 and 51.9 minutes.
Click here to see answer by ikleyn(52750) |
Question 1203042: An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 2 IQ points of the true mean. Assume sigma equals=10 that and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
Click here to see answer by Theo(13342) |
Question 1203043: In a recent poll, 380 people were asked if the like dogs, and 68% said they did. Find the margin of error for this poll, at the 99% confidence level. Give answer to four decimal places if possible.
Click here to see answer by Theo(13342) |
Question 1203044: 1. Wick Ltd. manufactures washers. One of the key quality measures is the thickness of the washers.
A sample of 5 washers in 7 different groups were recorded as shown in the table.
Use the data to construct the chart and R-chart
Click here to see answer by ikleyn(52750) |
Question 1203047: One of the greatest problems in marketing research and other survey fields is
the problem of nonresponse to surveys. In home interviews the problem arises when
the respondent is not home at the time of the visit or, sometimes, simply refuses to
answer questions. A market researcher believes that a respondent will answer all questions with probability 0.94 if found at home. He further believes that the probability that a given person will be found at home is 0.65. Given this information, what percentage of the interviews will be successfully completed.
Click here to see answer by Theo(13342) |
Question 1203054: Dr. Zivkov has developed a new procedure that he believes can correct a life-threatening medical condition. If the success rate for this procedure is 40 % and the procedure is tried on 8 patients, what is the probability that at least 2 of them will show improvement?
The probability is:
(Round your answer to 3 decimal places.)
Click here to see answer by ikleyn(52750) |
Question 1203053: A baseball player has a probability of 0.2 hitting the ball each time at bat, with successive times at bat being independent.
Calculate the probability that he gets at least 2 hits in 11 times at bat.
The probability is:
Click here to see answer by ikleyn(52750) |
Question 1203052:
A baseball player has a probability of 0.6 hitting the ball each time at bat, with successive times at bat being independent.
Calculate the probability that he gets at least 3 hits in 5 times at bat.
The probability is: %
Click here to see answer by ikleyn(52750) |
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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, 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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, 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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
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