Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1091379: For a four-question multiple-choice pop quiz, a student is totally unprepared and randomly guesses the answer to each question. If each question has five options, then the probability of selecting the correct answer for any given question is 1/5, or .2. With guessing, the response on one question is not influenced by the response on another question. Thus, whether one question is answered correctly is independent of whether or not another question is answered correctly. Find the probability the student passes, answering at least three questions correctly.
Click here to see answer by mathmate(429)  |
Question 1091258: the mark vi monorail used at disney world has doors with a height of 72 inches. heights of men normally distributed with a mean of 69.4 inches and a standard deviation of 2.2 inches
A. what percentage of adult men can fit through the doors without bending?
B. what doorway height would allow 99% of adult men to fit without bending?
Click here to see answer by Boreal(15235)  |
Question 1091506: An ordinary (Fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is reordered as the OUTCOME of a single trial of a random experiment.
Compute the PROBABILITY of each of the following events:
Event A: The sum is greater than 9.
Event B: The sum is not divisible by 2 and not divisible by 5
write your answers as exact fractions
Click here to see answer by Boreal(15235)  |
Question 1091474: A jar of applesauce is supposed to weigh 18 ounces. The company is trying to determine if its applesauce is overweight. Let µ = average ounces in a jar of applesauce. You want to test the following:
A random sample of 32 jars yields xbar = 18.2 ounces and s = 0.5 ounces. For α=0.05, what do you conclude?
Click here to see answer by Boreal(15235)  |
Question 1091201: For a particular clothing store, the claim is that the (population) mean age for all customers is 40 years old with a (population) standard deviation of 6.5 years. The store manager feels that the average age is much different than 40 years old. A survey of 30 randomly selected customers gives a sample mean of 37.84 years. Let α =0.10.
(a) What is the level of significance?
(b) State the null and alternate hypotheses. Will you use a left-tailed, right-tailed,or two-tailed test?
(c) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
(d) What is the value of the sample test statistic?
(e) Find (or estimate) the P-value.
(f) Based on your answers in parts (a) to (e), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
(g) State your conclusion in the context of the application.
Click here to see answer by Boreal(15235)  |
Question 1091601: An investment company pays 7% compounded semiannually. You want to have $16,000 in the future.
How much should you deposit now to have that amount 5 years from now?
How much should you deposit now to have that amount 10 years from now?
Click here to see answer by mathmate(429)  |
Question 1091677: There are 40 golf balls: 10 blue, 16 red, 4 green, 5 yellow, 5 white. Two girls reach into the box and take a ball without looking. If one picks a blue, yellow or white ball, she wins. If the other picks a red or green, she wins. Is this game fair? Explain.
Click here to see answer by jim_thompson5910(35256) |
Question 1091475: Residents of Hawkins, Indiana, believe something has affected the growth of adult males. Let µ = average height of an adult male born in Hawkins, Indiana. The city wants to test Ho: µ = 69 inches against Ha: µ ≠ 69 inches. A random sample of 36 males born in Hawkins yields xbar = 67.5 and s = 4. For α = 0.05, what do you conclude?
Click here to see answer by rothauserc(4718)  |
Question 1091409: Please help me solve statistics question;
A trainee risk manager for an investment bank has been told that the level of risk is directly related to the industry type (manufacturing, retail, financial). For the data presented in table below, test if level of risk is associated with industrial class. Use 5% level of significance.
Industrial class
Level of risk Manufacturing Retail Financial
Low 81 38 16
Moderate 46 42 33
high 22 26 29
Click here to see answer by stanbon(75887) |
Question 1091473: In the past, it has taken an express mail company an average of 2 days to deliver packages. After hiring a consulting firm, they want to know if delivery has improved. Let µ= average number of days needed to deliver a package after hiring a consulting firm. The company wants to test the following:
A sample of 100 packages yields xbar = 1.8 and s = 1.5. For α = 0.05, what do you conclude?
Click here to see answer by stanbon(75887) |
Question 1091256: you are given that the standing eye heights of women are normally distributed with a mean of 1524 mm and a standard deviation of 61mm
A. a door peephole is placed at a height that is uncomfortable for women with a standing eye height greater than 1615 mm, what percentage of women will find that height uncomfortable?
B. in selecting the height of a door peephole, the architect wants its height to be suitable for the highest 99% of standing eye heights of women. what standing eye height of women separates the highest 99% of standing eye heights from the lowest 1%?
Click here to see answer by stanbon(75887) |
Question 1091254: assume that red blood cell counts of women are normally distributed with a mean of 4.342 and a standard deviation of 0.501
24 women are randomly selected, find the probability that the mean of their red blood cell count is less than 4.562
Click here to see answer by Boreal(15235)  |
Question 1091767: Two cards are drawn from a deck of 52 cards. If both cards are spades, how many different hands are possible?
(Note: A hand of cards is the collection of cards a player is holding, a standard deck of cards contains 13 distinct spades, and the order of the cards does not matter.)
Click here to see answer by Boreal(15235)  |
Question 1091765: A couple knows that any child they have has1/4 of a chance of being albino.
a)what is the probability that their first three children will all be albino?
b)what is the probability that the fourth child is albino?
Click here to see answer by Fombitz(32388)  |
Question 1091762: Since automobile drivers are known to use a "walking speed" and not stop at stop signs,a certain village receives substantial revenue from this trafic violation.the probabilities of receiving exactly 0,1,or 2,3,or 4, or more than 4 violations within a year are respectively 0.32 ,0.57,0.07 and 0.04.
What is the probability;
a) a driver will receive at most 4 violations?
b) a driver will receive at least 3 violations?
Click here to see answer by Fombitz(32388)  |
Question 1091773: A sample of 45 hairs are cut from a person's head. The diameter of each of the 45 hairs is measured in micrometers (μm, or in other words 10^-6m) with a mean of 38μm and a sample standard deviation of 2.306μ
If the diameters of hair are normally distributed, estimate the percentage of all hairs on this person's head that will have a diameter greater than 40.5μm.
Click here to see answer by Boreal(15235)  |
Question 1091847: The mean age at which men in the United States marry for the first time follows the normal distribution with a mean of 24.7 years. The standard deviation of the distribution is 2.6 years.
For a random sample of 57 men, what is the likelihood that the age at which they were married for the first time is less than 25.2 years? (Round z value to 2 decimal places. Round your answer to 4 decimal places.)
Probability ____?
Click here to see answer by Boreal(15235)  |
Question 1091848: Among U.S. cities with a population of more than 250,000 the mean one-way commute time to work is 24.3 minutes. The longest one-way travel time is in New York City, where the mean time is 38.7 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.3 minutes.
a.
What percent of the New York City commutes are for less than 29 minutes? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.)
Percent %
b.
What percent are between 29 and 36 minutes? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.)
Percent %
c.
What percent are between 29 and 44 minutes? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.)
Percent %
Click here to see answer by Boreal(15235)  |
Question 1091930: A person may receive a grade of either high (H), medium (M), or Low (L) on hearing test and a grade of either good (G) or poor (P) on sight test. How many different outcomes are there if both tests are taken ?
Click here to see answer by Fombitz(32388)  |
Question 1091884: In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,350 and a standard deviation of $260. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed.
What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month? (Round z value to 2 decimal places and final answer to 4 decimal places.)
Probability ___?
Click here to see answer by Fombitz(32388)  |
Question 1091933: A population is estimated to have a standard deviation of 11. We want to estimate the population mean within 3, with a 90% level of confidence. (Use z Distribution Table.)
How large a sample is required? (Round the z-values to 2 decimal places. Round up your answer to the next whole number.)
Sample required is ____?
Click here to see answer by rothauserc(4718)  |
Question 1091909: Two darts are thrown at the board below, if you get the same number twice, the second dart is removed and re-thrown. If you get 10 points or more, you win a prize.
5324
6128
5137
2122
1) If a 4 was scored with the first dart, find P(Win)
2)If a 3 was scored with the first dart, find P(Win)
3)If a 2 was scored with the first dart, find P(Win)
4)If an 8 was scored with the first dart, find P(Lose)
Answer as a percentage- round to 1 d.p
Can someone please help me?
Click here to see answer by greenestamps(13195)  |
Question 1092103: A normal population has a mean of 60 and a standard deviation of 3. You select a sample of 36.
Compute the probability the sample mean is (Round z values to 2 decimal places and final answers to 4 decimal places):
a. Less than 59.
Probability _____?
b. Between 59 and 61.
Probability _____?
c. Between 61 and 62.
Probability _____?
d. Greater than 62.
Probability _____?
Click here to see answer by Boreal(15235)  |
Question 1092100: CRA CDs Inc. wants the mean lengths of the "cuts" on a CD to be 145 seconds (2 minutes and 25 seconds). This will allow the disk jockeys to have plenty of time for commercials within each 10-minute segment. Assume the distribution of the length of the cuts follows the normal distribution with a population standard deviation of 10 seconds. Suppose we select a sample of 24 cuts from various CDs sold by CRA CDs Inc.
a. What can we say about the shape of the distribution of the sample mean?
Sample mean
b. What is the standard error of the mean? (Round your z-value to 2 decimal places and final answer to 2 decimal places.)
Standard error of the mean ____ seconds.
c.
What percent of the sample means will be greater than 150 seconds? (Round your z-value to 2 decimal places and final answer to 2 decimal places.)
Percent %
d.
What percent of the sample means will be greater than 138 seconds? (Round your answer to 2 decimal places.)
Percent %
e.
What percent of the sample means will be greater than 138 but less than 150 seconds? (Round your z-value to 2 decimal places and final answer to 2 decimal places.)
Percent %
Click here to see answer by Boreal(15235)  |
Question 1091766: At the annual christmas party a drawing was held for: 20 gift certificates worth $25 each, 40 turkeys, and 40 boxes of candy.There are 50 employees so that each has two draws.
a) what is the probability the first employee drew 2 gift certificates?
b) what is the probability he drew a gift certificate and then a certificate for a turkey?
c) what is the probability he drew a certificate for a turkey and then for a box of candy?
Click here to see answer by Boreal(15235)  |
Question 1091772: Julie performs an experiment in which she rolls 5 fair 6-sided dice and records the number XX of dice that have a value of at least 3. For example, if the rolls are {2, 4, 1, 6, 4}, then X=3
a) The random variable X follows a binomial distribution. What are n and p for this distribution?
n=Answer
(Enter a decimal only, not a fraction, rounded to the nearest hundredth, in the box below.)
p=Answer
b) What is the probability that exactly 1 of the 5 dice has a value of at least 3?
(Enter a decimal only, not a fraction, rounded to the nearest hundredth, in the box below.)
Click here to see answer by Boreal(15235)  |
Question 1092099: The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 400 viewers. After viewing the comedy, 200 indicated they would watch the new show and suggested it replace the crime investigation show.
a. Estimate the value of the population proportion. (Round the z-values to 2 decimal places. Round your answer to 3 decimal places.)
Population proportion ______?
b.
Develop a 98% confidence interval for the population proportion. (Use z Distribution Table.) (Round the z-values to 2 decimal places. Round your answers to 3 decimal places.)
Confidence interval ____ and _____ ?
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, 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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, 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
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