Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1020142: At a college, 60% of the students pass Spanish, 70% of the students pass Science, and 30% pass both of these courses. If a student is selected at random, find the following conditional probabilities.
a) The student passes Spanish given that said student passed Science.
b) The student passes Science given that the student passed Spanish.
I know that if I can figure the formula for a) I can then figure out the solution for b) as well. I just can't get either of them down.
Click here to see answer by solver91311(24713)   |
Question 1020143: Jack's probability of passing a math course is 40%, and Larry's probability of passing the same course is 70%. If the two events are independent, find the following probabilities.
a) P(both of them will pass statistics)
b) P(at least one of them will pass statistics)
Click here to see answer by FrankM(1040)  |
Question 1020147: A $1 lottery ticket offers a grand prize of $10,000; 10 runner-up prizes each paying $1,000; 100 third-place prizes each paying $100; and 1,000 fourth-place prizes each paying $10. Find the expected value of entering this contest if 1 million tickets are sold.
Click here to see answer by mathmate(429)  |
Question 1020206: Identify the data level (nominal, ordinal, interval, or ratio) that best describes each of the following cases:
a. Placement (1st, 2nd, etc.) within a wrestling meet
b. The height of a randomly selected flight attendant
c. The title of a radomly selected individual's favorite song
d. The temperature in Washington DC at noon
Click here to see answer by robertb(5830)  |
Question 1020068: Mr. Z is in a casino for the first time! He decides to play some American roulette. First, he bets $1 on red and he wins! Then, he bets $1 on red again and he wins again!
A. If Mr. Z plays a third round and bets $1 on red, what is the probability that he will win a third time?
B. If an individual plays three rounds of American roulette, what is the probability that he or she will win all three times?
C. Mr. Z’s friend, Ms. Y, joins him at the casino and she plays 3 games of roulette, betting $1 on red each time. What is the probability that she will finish with more money than she started with?
D. Assume that both Mr. Z and Ms. Y made money during their first short trip to the casino. How are casinos making money if two people can walk in and come out with more money? Apply what you have learned about probability distributions in this lesson. It is expected that about 50-75 words will be needed to fully answer this question.
Click here to see answer by Fombitz(32388)  |
Question 1020243: . A student estimates that the probability for him to get a scholarship is 0.8 if he scores a grade A in Statistics and 0.1 if he gets a grade C in Statistics. However the chances for him to get grade A in Statistics is 0.1 and grade B is 0.3
a) Draw a tree diagram to represent the above situation
b) What is the probability that he will get a scholarship
c) If the students get a scholarship, what is the probability that he obtains a grade B in Statistics
Click here to see answer by Fombitz(32388) |
Question 1020190: Tom and Sam are playing a game. Tom selects one card from a standard 52-card deck. If Tom selects a face card (Jack, Queen, or King), Sam pays him $4. If Tom selects any other type of card, he pays Sam $3.
a) What is Tom's expected value for this game? Round your answer to the nearest cent.
b) What is Sam's expected value for this game? Round your answer to the nearest cent.
c) Who has the advantage in this game?
Click here to see answer by Fombitz(32388) |
Question 1020127: Mr. Z is in a casino for the first time! He decides to play some American roulette. First, he bets $1 on red and he wins! Then, he bets $1 on red again and he wins again! Use this information to answer the following questions.
If you use Minitab Express, copy + paste your output along with an explanation.
For a table of roulette betting odds see: https ://en.wikipedia.org/wiki/Roulette#Bet_odds_table.
Note that this is American roulette with 38 slots: 18 red, 18 black, and 2 green.
(20 points)
A. If Mr. Z plays a third round and bets $1 on red, what is the probability that he will win a third time?
B. If an individual plays three rounds of American roulette, what is the probability that he or she will win all three times?
C. Mr. Z’s friend, Ms. Y, joins him at the casino and she plays 3 games of roulette, betting $1 on red each time. What is the probability that she will finish with more money than she started with?
D. Assume that both Mr. Z and Ms. Y made money during their first short trip to the casino. How are casinos making money if two people can walk in and come out with more money? Apply what you have learned about probability distributions in this lesson. It is expected that about 50-75 words will be needed to fully answer this question.
Click here to see answer by Fombitz(32388) |
Question 1020268: A student randomly guesses at 10 multiple-choice questions. Find the probability that the student guesses exactly 3 correctly. Each multiple choice question has four possible answers with only one correct answer, and each question is independent of every other question.
How do i pick this question apart in terms of what to put where in my TI-83?
Click here to see answer by Fombitz(32388) |
Question 1020268: A student randomly guesses at 10 multiple-choice questions. Find the probability that the student guesses exactly 3 correctly. Each multiple choice question has four possible answers with only one correct answer, and each question is independent of every other question.
How do i pick this question apart in terms of what to put where in my TI-83?
Click here to see answer by ewatrrr(24785)  |
Question 1020298: A group of 12 subjects are weighed at day one of a weight reducing clinic and again at day 7, resulting in a total of 24 measurements. The research question is: Has any significant weight been lost during this week? Please provide the Ho, Ha, df and the test you would use.
Click here to see answer by Fombitz(32388) |
Question 1020297: A group of 12 subjects are weighed at day one of a weight reducing clinic and again at day 7, resulting in a total of 24 measurements. The research question is: Has any significant weight been lost during this week? Please provide the Ho, Ha, df and the test you would use.
Click here to see answer by Fombitz(32388) |
Question 1020296: A group of 12 subjects are weighed at day one of a weight reducing clinic and again at day 7, resulting in a total of 24 measurements. The research question is: Has any significant weight been lost during this week? Please provide the Ho, Ha, df and the test you would use.
Click here to see answer by Fombitz(32388) |
Question 1020184: For a certain style of new vehicle, the colors blue, white, black, and green are in equal demand. Three successive orders are placed for vehicles; the orders are placed independently. Find the probability that exactly two of the orders are for the same color.
Click here to see answer by Fombitz(32388) |
Question 1019274: You investigate the earnings of the 2nd year students in your school. They earn on average €240,-, with a standard deviation of €90,- One person stands out, because she's a snooker champion. She makes on average €420,- a week. What is the corresponding z-score of her earnings?
Click here to see answer by Fombitz(32388) |
Question 1020308: 2. Based on the scale of measurement for each variable listed below, which measure of central tendency is most appropriate for describing the data?
a. The time (in years) it takes a sample of students to graduate college
b. The blood type (e.g., Type A, B, AB, O) of a group of participants
c. The rankings of college undergraduate academic programs
Click here to see answer by Boreal(15235)  |
Question 1020320: Of 240 students 176 are on the honorol, 48 are members of the varsity team, 38 are in the honorol and are also members of the varsity team. What is the probability that a randomly selected students is on the honorol or is a member of the varsity team?
Click here to see answer by meraax32(1) |
Question 1020339: Hello, Could someone please tell me if I have the following data correct from a stem-and-leaf plot? It represents the starting salary in thousands of dollars of ten friends after college graduation. The values are:
1- 7 8
2- 0 1 4 4
3- 0 2 4
4- 0
key: 1--7=17
I believe the values are: 17, 18, 20, 21, 24, 24, 30, 32, 34, and 40?
Thanks for your help!
Click here to see answer by stanbon(75887) |
Question 1020354: Question A is if variable is normally distributed, mean 35, standard deviation 42, identify the sampling distribution of the sample mean for sample of size 9. Question B is: can you answer part (a) if distribution of the variable under consideration is unknown, but the sample size is 39 instead of 9? why or why not? My response is: Yes, because since the sample size is greater than 30, we would be able to apply the central limit theorem and ensure that the resulting distribution for sample mean is normal. Please tell me, is my answer correct? is there more or less i can add? thanks!
Click here to see answer by robertb(5830) |
Question 1020364: The U.S. mint, which produces billions of coins annually, has a mean daily defect rate of 4 coins. Let X be the number of defective coins produced on a given day.
On a given day, what is the probability of 3 or fewer defective coins
On a given day, what is the probability of more than 3 defective coins?
On a given day, what is the probability of exactly 4 defective coins
what is the variance?
Click here to see answer by robertb(5830) |
Question 1020303: A lab technician obtains a specimen of known concentration from a reference lab. He test the specimen 10 times using an asay kit and compares the calculated mean to that of the known standard. What statistical test would you use and why?
Click here to see answer by robertb(5830) |
Question 1020389: 1.Suppose we are flipping a fair coin (i.e., probability of heads = .5 and probability of tails = .5). What is the probability that in a sample of 5 flips, fewer than 4 will be heads?
2.The U.S. mint, which produces billions of coins annually, has a mean daily defect rate of 4 coins. Let X be the number of defective coins produced on a given day.
What is the variance of this distribution?
3. Consider the following discrete distribution. Note that x represents the value of a particular outcome and P(x) represents the probability of that outcome.
x P(x)
0 0.1
1 0.2
2 0.3
3 0.2
4 0.1
5 0.1
What is the probability that an observed x is less than or equal to 3?
Click here to see answer by robertb(5830) |
Question 1020324: Tickets for a raffle cost $7. There were 817 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1600 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places.
Click here to see answer by Fombitz(32388) |
Question 1020330: The lengths of pregnancies in a small rural village are normally distributed with a mean of 270 days and a standard deviation of 12 days. A distribution of values is normal with a mean of 270 and a standard deviation of 12.
What percentage of pregnancies last fewer than 294 days?
P(X < 294 days) =
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Click here to see answer by Fombitz(32388) |
Question 1020556: Hi please help with the following: When written in the form MM/DD/YYYY, how many days in 2016 have the property that the four digits of the month and the day can be rearranged to form the year?
Thank you so much! I also need to show work/ a way I got the answers. Thanks again!
Click here to see answer by josmiceli(19441)  |
Question 1020558: Hi Please help with the following: The number of days in 2016 that have this property is equal to the number of days in 2061 that have this property. For what pair of years 20XY and 20YX, where X and Y are distinct digits, is this not the case?
Thank you! I also need to show work/ how I got the answer! Thank you so much again
Click here to see answer by richard1234(7193)  |
Question 1020638: Assume that the time a computer technician spends responding to a ticket item is normally distributed with a mean of 37 minutes and a standard deviation of 5 minutes. Assume that an outstanding ticket item is chosen at random.
A.Calculate the probability that the response time will be between 30 and 40 minutes.
B.Calculate the probability that the response time will be more than 45 minutes.
C.Calculate the probability that the response time will be less than 32 minutes.
D.Calculate the probability that the response time will be between 40 and 45 minutes.
Click here to see answer by ewatrrr(24785) |
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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, 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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