Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1133310: a multiple choice test contain 25 questions each with four answers. assume that a student just guesses on each question. (a)what is the probability that the student answers more than 20 question correctly? (b) What is the probability that the student answer fewer than five questions correctly
Click here to see answer by math_helper(2461)   |
Question 1133342: The probability is 0.6 that a calibration of a transducer in an electronic instrument conform to specification for the measurement system. assume that the calibration attempts are independent. what is the probability that at most three calibration attempts are required to meet the specifications for the measurement system?
Click here to see answer by greenestamps(13195)  |
Question 1133364: A recent survey by the U.S. Census Bureau determined that the median monthly housing rent was $644. If the first quartile for monthly housing rent was $489, find the percent of monthly housing rents that were the following values.
(a) more than $489
%
(b) less than $644
%
(c) between $489 and $644
%
Click here to see answer by Boreal(15235)  |
Question 1133368: Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The probability that an item produced by factory A is defective is 0.024 and the probability that an item produced by factory B is defective is 0.038.
A computer is selected at random and it is found to be defective. What is the probability it came from factory A?
Click here to see answer by ikleyn(52754)  |
Question 1133329: Answer the following about the data set. (Round to two decimal places where appropriate)
Data set I:
3 5 6 7 9
a) The median of Data set I is:
b) The interquartile range (IQR) of Data set I is from _______ to ______
c) The mean of Data set I is:
d) The standard deviation of Data set I is:
Click here to see answer by Boreal(15235) |
Question 1133327: Answer the following about each data set. (Round to two decimal places where appropriate)
Data set II:
3 5 8 7 9
a) The median of Data set II is:
b) The interquartile range (IQR) of Data set II is from________to _________
c) The mean of Data set II is:
d) The standard deviation of Data set II is:
Click here to see answer by Boreal(15235) |
Question 1133438: The following data represents the age of 30 lottery winners.
Given the frequency distribution for the data,
Each column (left to right) is as follows: Age, Frequency, Relative Frequency, Cumulative Relative Frequency
[20,29] 1 0.0333 0.0333
[30,39] 7 0.2333 0.2666
[40,49] 4 0.1333 0.3999
[50,59] 5 0.1667 0.5666
[60,69] 9 0.3 0.8666
[70,79] 3 0.1 0.9666
[80,89] 1 0.0333 0.9999
(a) What is the frequency of lottery winners of age between 19 and 40?
(b) What percentage of lottery winners are 70 years or older?
(c) What is the relative frequency of ages under 40?
(d) What is the cumulative relative frequency of lottery winners younger than 50?
Click here to see answer by Boreal(15235) |
Question 1133326: Answer the following about the data set.
Data set I:
3 5 6 7 9
a) The median of Data set I is:
b) The interquartile range (IQR) of Data set I is from ___________ to ___________
c) The mean of Data set I is:
d) The standard deviation of Data set I is:
Click here to see answer by Boreal(15235) |
Question 1133246: A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.04 with 90% confidence if
(a) she uses a previous estimate of 0.58?
(b) she does not use any prior estimates?
Click here to see answer by rothauserc(4718)  |
Question 1133206: The average GPA of students in 2001 at a private university was 3.37. A survey on a sample of 203 students from this university yielded an average GPA of 3.59 in Spring semester of 2012.
(a) What is the sample mean? What is the claimed population mean?
Click here to see answer by Theo(13342)  |
Question 1133503: A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.
**The column titles are (left to right above each of the number columns) are as follows: better, same, worse
Republican 38 104 44
Democrat 12 87 137
none 21 90 118
Express each of your first five answers as a decimal and round to the nearest 0.001 (in other words, type 0.123, not 12.3% or 0.123456).
(a) What fraction of survey respondents identified themselves as Republicans?
(b) What fraction of survey respondents thought the economy was getting worse?
(c) What fraction of Republicans thought the economy was getting worse?
(d) Among survey respondents who thought the economy was getting worse, what fraction were Republicans?
(e) What fraction of survey respondents were Republicans who thought the economy was getting worse?
Click here to see answer by Boreal(15235) |
Question 1133313: National League
70 47 49 34 37 31 62 66 34 54 73 54
70 44 48 43 59 53 61 62 63 60 73
35 36 33 36 55 55 66 67 41 59 50
Find the mean and the population standard deviation of the number of home runs hit by the leaders in the National League. Round each result to the nearest tenth.
mean
American League
56 52 31 38 57 37 54 29 34 55 22 39
40 46 30 55 44 57 30 49 49 36 30
56 44 52 50 29 43 40 30 22 46 41
Find the mean and the population standard deviation of the number of home runs hit by the leaders in the American League. Round each result to the nearest tenth.
mean
Click here to see answer by Boreal(15235) |
Question 1133543: Three research departments have 10 , 7 , and 8 members, respectively. If each department is to select a delegate and an alternate to represent the department at a conference, in how many ways can this be done?
Click here to see answer by Boreal(15235) |
Question 1133549: 58% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is (a) exactly five, (b) at least six, and (c) less than four.
Click here to see answer by Boreal(15235) |
Question 1133544: In a certain country, the true probability of a baby being a girl is 0.479. Among the next five randomly selected births in the country, what is the probability that at least one of them is a boy?
The probability is __?
(Round to three decimal places as needed.)
Click here to see answer by Boreal(15235) |
Question 1133559: A researcher has boiled her hypothesis test down to the following information:
H0: p= 0.7, Ha: p< 0.7, α= 0.08
x= 115, n= 169
***Note: The "0" in H0 and the "a" in Ha are supposed to be sub scripted***
1. Find the p-value.
Click here to see answer by Boreal(15235) |
Question 1133563: Use the Empirical Rule to answer each question.
During 1 week an overnight delivery company found that the weights of its parcels were normally distributed, with a mean of 32 ounces and a standard deviation of 8 ounces.
(a) What percent of the parcels weighed between 16 ounces and 40 ounces? (Round your answer to one decimal place.)
%
(b) What percent of the parcels weighed more than 56 ounces? (Round your answer to two decimal places.)
%
Click here to see answer by Boreal(15235) |
Question 1133596: in a true or false assignment of six questions you are obliged to get at least four correct to pass. If you guess answers to the questions, what are the probabilities that:
a) you pass
b) you get at least 50% of the answers correct
c) you get no more than 2 correct
Click here to see answer by Boreal(15235) |
Question 1133557: Proctor & Gamble claims that at least half the bars of Ivory soap they produce are 99.44% pure (or more pure) as advertised. Unilever, one of Proctor & Gamble's competitors, wishes to put this claim to the test. They sample the purity of 112 bars of Ivory soap. They find that 44 of them meet the 99.44% purity advertised.
1. Multiple choice: What type of test should be run?
(a) t-test of a mean
(b) z-test of a proportion
2. Multiple choice: The alternative hypothesis indicates a
(a) right-tailed test
(b) two-tailed test
(c) left-tailed test
3. Calculate the p-value: __________
4. Multiple choice: Does Unilever have sufficient evidence to reject Proctor & Gamble's claim?
(a) Yes
(b) No
Click here to see answer by Boreal(15235) |
Question 1133710: A distribution of values is normal with a mean of 170 and a standard deviation of 2.
1. Find the interval containing the middle-most 38% of scores.
Enter your answer using interval notation. Example: [2.1,5.6)
Your numbers should be accurate to 1 decimal places.
Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Click here to see answer by Boreal(15235) |
Question 1133709: CNNBC recently reported that the mean annual cost of auto insurance is 1016 dollars. Assume the standard deviation is 268 dollars. You take a simple random sample of 61 auto insurance policies.
1. Find the probability that a single randomly selected value is less than 990 dollars.
P(X < 990) = ____________(Enter your answers as numbers accurate to 4 decimal places)
2. Find the probability that a sample of size
n= 61 is randomly selected with a mean less than 990 dollars.
P(M < 990) = __________(Enter your answer as numbers accurate to 4 decimal places)
Click here to see answer by Boreal(15235) |
Question 1133774: The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 130, while the mean score was 70 and the standard deviation was 14.
(Below shows numbers on the x axis with a bell curve. 28 and 112 are on the edges of the bell curve, while 42 through 98 are within the curve. 70 is exactly in the middle).
___28______42_____56____70______84_______98________112____
Distribution of test scores
(a) What is the approximate percentage of students who scored lower than 28 on the test?__________%
(b) What is the approximate percentage students who scored between 56 and 84 on the test?________ %
(c) What is the approximate percentage of students who scored between 70 and 84 on the test?_________ %
(d) What is the approximate percentage of students who scored higher than 98 on the test?__________ %
Click here to see answer by Boreal(15235) |
Question 1133790: A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.
Click here to see answer by greenestamps(13195) |
Question 1133729: Here is the question, a quality control manager says that in the manufacturing of DVD players the rate of defects is 3%. Two DVD players are selected at random and checked for defects
a.)Find the probability that both DVD players have defects
b.)Find the probability that at least one of the DVD players have defects
c.)The manager selects 10 DVD players at random, what is the probability that all 10 DVD players have defects
Click here to see answer by rothauserc(4718) |
Question 1133838: three-digit numbers are formed using the digits 2, 4, 5, and 7, with repetition of digits allowed. how many such numbers can be formed if
(a) the numbers are less than 700
(b) the numbers are even
(c) the numbers are divisible by 5
Click here to see answer by greenestamps(13195) |
Question 1133959: A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the engineers forecast that 9% of all major bridges in that city will have ratings of 4 or below. Complete parts a and b.
a. Use the forecast to find the probability that in a random sample of 7 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020.
Click here to see answer by Boreal(15235) |
Question 1133969: In a certain region all license plates are composed of three letters followed by three numbers, or three numbers followed by three letters. The only restriction is that zero can never be the first of the three numbers if the three numbers come first. Find how many license plates are possible.
Note: Sorry I think I put the wrong category for this question, but I couldn’t find one that matches this question... Thanks!
Click here to see answer by Boreal(15235) |
Question 1133967: Suppose that you actually observe 3 or more of the sample of 7 bridges with inspection ratings of 4 or below in 2020. What inference can you make? Why? Select the correct answer below.
A.
Since the probability of this observation occurring is so small, it can be concluded that the forecast of 9% is too large. There would probably be less than 9%.
B.
Since the probability of this observation occurring is so large, it can be concluded that the forecast of 9% is too small. There would probably be more than 9%.
C.
Since the probability of this observation occurring is so large, it can be concluded that the forecast of 9% is too large. There would probably be less than 9%.
D.
Since the probability of this observation occurring is so small, it can be concluded that the forecast of 9% is too small. There would probably be more than 9%.
This is a follow up question for Boreal. Thank you for your help Boreal.
Click here to see answer by Boreal(15235) |
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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, 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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, 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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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