Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1191452: A large group of students took a test in physics and the final grade have a mean of 70 and a standard deviation of 10 if we can approximate of these grades by a normal distribution, what percent of the students.
a. Scored higher than 80?
b. Should pass the test(grades≥60)?
c. Should fail the test (grades≤60)?
Click here to see answer by Boreal(15235)   |
Question 1191533: 9% of population has a symptom of a disease. If one tests a symptomatic person, probability of testing positive is p=0.78. If one tests a person without symptoms, the probability is p=0.06. If you test a random person what is the probability of the test returning positive results? What is the probability of a positive testing person actually having a disease?
Click here to see answer by ikleyn(52778)  |
Question 1191546: The weight of potato chips in a medium-sized bag is said to be 10 ounces. The amount that the packaging machine puts in a bag of potato chips can be modeled by a normal curve with a mean 10.2 ounces and standard deviation 0.2 ounces.
Response area (a) What fraction of all bags sold are underweight?
Response area (c) What is the probability that the average weight of the 3 bags is below the stated amount?
Response area (d) What is the chance the average weight of a 24-bag case of potato chips is below 10 ounces?
Click here to see answer by Theo(13342)  |
Question 1191623: In a magazine survey: 60% of respondents said that they used reusable shopping bags; 32% asked for plastic, and 8% requested paper 10 selected find probability 6 will use reusable bags and 2 ask for paper or plastic
Click here to see answer by ikleyn(52778) |
Question 1191638: MAT 145: Topics In Contemporary Math
More Probability
3) A disease has an incidence rate of 1.3%. A test for the disease has a false positive rate of 7% and a false negative rate of 2%. Find each of the following probabilities:
a) A person who tests positive has the disease.
b) A person who tests negative does not have the disease
Click here to see answer by math_tutor2020(3816) |
Question 1191674: Mason plays a game by flipping two fair coins. He wins the game if both coins land facing heads up. If Mason plays 300 times, how many times should he expect to win? Enter your answer in the box.
Im a little confused on this problem because technically it would be 300 / 2 = 150. yet when i submitted my hw i got it wrong i want to know what i did wrong can someone guide me through the steps?
Click here to see answer by math_tutor2020(3816) |
Question 1191675: The following are body mass index (BMI) scores measured in 12 patients who are free of diabetes and are participating in a study of risk factors for obesity. Body mass index is measured as the ratio of weight in kilograms to height in meters squared. Generate a 95% confidence interval estimate of the true BMI.
28 21 37 38 24 28 38 47 27 32 36 43
Click here to see answer by math_tutor2020(3816) |
Question 1191669: College students often make up a substantial portion of the population of college cities and towns. State College, Pennsylvania, ranks first with 71.1% of its population made up of college students. What is the probability that in a random sample of 171 people from State College, more than 50 are not college students (rounded to 4 decimal places)?
P(X>50) =
Click here to see answer by Theo(13342) |
Question 1191672: Question 10 options:
The average teacher's salary in a certain state is $37,764. Assume a normal distribution with σ = $5100.
a) What is the probability that a randomly selected teacher's salary is greater than $46,800?
For a sample of 75 teachers, what is the probability that the sample mean is greater than $38,900?
Click here to see answer by Theo(13342) |
Question 1191703: A poll showed that 43.2% of Americans say they believe that 42 is the answer to life, the universe, and everything. What is the probability of randomly selecting someone who does not believe that 42 is the answer to life, the universe, and everything.
Report the answer as a percent rounded to one decimal place accuracy or as a calculated percent. You need not enter the "%" symbol.
prob =
Click here to see answer by Boreal(15235) |
Question 1191703: A poll showed that 43.2% of Americans say they believe that 42 is the answer to life, the universe, and everything. What is the probability of randomly selecting someone who does not believe that 42 is the answer to life, the universe, and everything.
Report the answer as a percent rounded to one decimal place accuracy or as a calculated percent. You need not enter the "%" symbol.
prob =
Click here to see answer by ikleyn(52778) |
Question 1191704: According to Masterfoods, the company that manufactures M&Ms, 12% of peanut M&Ms are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. Assume that selecting multiple M&Ms are independent events. (Round your answers to three decimal places, for example 0.123)
Compute the probability that a randomly selected peanut M&M is not green.
Compute the probability that three randomly selected peanut M&Ms are all green.
If you randomly select four peanut M&Ms, compute the probability that none of them are red.
Click here to see answer by Boreal(15235) |
Question 1191702: A quick quiz consists of a multiple-choice question with 3 possible answers followed by a true/false question. If both questions are answered with random guesses, find the probability that both responses are correct.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
Click here to see answer by Boreal(15235) |
Question 1191671: Question 5 options:
The average monthly mortgage payment including principal and interest is $982 in the United States. If the standard deviation is approximately $180 and the mortgage payments are approximately normally distributed, find the probabilities.
a) The selected monthly payment is more than $1175.
P(X > 1175) =
b) The selected monthly payment is between $700 and $1000.
P(700 < X < 1000) =
Click here to see answer by Boreal(15235) |
Question 1191648: Two cards are selected without replacement from a usual deck of 52 cards.(a) How many points (simple events) are in the sample space?(b) Find the following probabilities: (i) both cards are clubs; (ii) both cards are kings; (iii) one ofthe cards is the king of clubs; (iv) at least one of the cards is a king or a club; (v) exactly oneof the cards is a face card (J, Q or K).(c) What is the probability that the second card selected has a lower rank than the first cardselected? [Consider an ace as the highest rank only.](d) If neither of the two cards selected were spades, what is the probability both were diamonds?
Click here to see answer by Boreal(15235) |
Question 1191682: The table below summarizes baseline characteristics of patients participating in a clinical trial. a) Are there any statistically significant differences in baseline characteristics between treatment groups? Justify your answer.
Characteristic
Placebo (n = 125)
Experimental ( n =125)
P
Mean (+ SD) Age
54 + 4.5
53 + 4.9
0.7856
% Female
39%
52%
0.0889
% Less than High School Education
24%
22%
0.0386
% Completing High School
37%
36%
% Completing Some College
39%
42%
Mean (+ SD) Systolic Blood Pressure
136 + 13.8
134 + 12.4
0.4736
Mean (+ SD) Total Cholesterol
214 + 24.9
210 + 23.1
0.8954
% Current Smokers
17%
15%
0.0441
% with Diabetes
8%
3%
0.0938
Click here to see answer by ikleyn(52778) |
Question 1191726: Connecticut Lottery In the Cash Five Lottery in Connecticut, a player pays 1 dollar for a single ticket with five numbers. Five balls numbered 1 through 35 are randomly chosen from a bin without replacement. If all five numbers on a player's ticket match the five chosen, the player wins 100,000 dollars. The probability of this occurring is 1/(324,632) If four numbers match, the player wins 300 dollars This occurs with probability 1/2164 If three numbers match, the player wins 10 dollars This occurs with probability 1/75 . Compute and interpret the expected value of the game from the player's point of view.
Click here to see answer by ikleyn(52778) |
Question 1191724: A light bulb manufacturer finds that 5% of his bulbs last more than 500 hours. An improvement in the process meant that the mean lifetime was increased by 50 hours . In a new test, 20% of bulbs now lasted longer than 500 hours.
Find the mean and standard deviation of the original process
Click here to see answer by Theo(13342) |
Question 1191724: A light bulb manufacturer finds that 5% of his bulbs last more than 500 hours. An improvement in the process meant that the mean lifetime was increased by 50 hours . In a new test, 20% of bulbs now lasted longer than 500 hours.
Find the mean and standard deviation of the original process
Click here to see answer by ikleyn(52778) |
Question 1191723: A light bulb manufacturer finds that 5% of his bulbs last more than 500 hours. An improvement in the process meant that the mean lifetime was increased by 50 hours . In a new test, 20% of bulbs now lasted longer than 500 hours.
Find the mean and standard deviation of the original process
Click here to see answer by ikleyn(52778) |
Question 1191437: The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 4 percent. The 0.95 degree of confidence is to be used. A study conducted several years ago revealed that the percent of junior executives leaving within three years was 22. To update this study, the files of how many junior executives should be studied?
A. 594 B. 612 C. 413 D. 897
Click here to see answer by Boreal(15235) |
Question 1191439: 13. Test at the 0.01 level the statement that 55% of those families who plan to purchase a vacation residence in Florida want a condominium. The null hypothesis is π = .55 and the alternate is π ≠ .55. A random sample of 300 families who planned to buy a vacation residence revealed that 218 families want a condominium. What decision should be made regarding the null hypothesis?
A. Reject it B. Do not reject it C. Cannot accept nor reject it based on the information given D. None of the above
Click here to see answer by Boreal(15235) |
Question 1191440: A random sample of 90 group leaders, supervisors, and similar personnel revealed that a person spent an average 5.5 years on the job before being promoted. The population standard deviation was 1.8 years. Using the 0.95 degree of confidence, what is the confidence interval for the population mean?
A. 6.99 and 7.99 B. 4.15 and 7.15 C. 5.13 and 5.87 D. 6.49 and 7.49
Click here to see answer by Boreal(15235) |
Question 1191438: A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, 219, 217, 220 and 218. At the 0.025 level, has the shelf life of the cake mix increased?
A. No, because computed t lies in the region of acceptance.
B. No, because 217.24 is quite close to 216.
C. Yes, because computed t is greater than the critical value.
D. Yes, because computed t is less than the critical value.
Click here to see answer by Boreal(15235) |
Question 1191643: Math 145: Topics in Contempoary Math
Probability
4) Suppose we roll a pair of dice and add the upmost facing numbers. Let E be the event that the sum is even and F be the even that the sum is a multiple of three. Fill in the chart then find the required probabilities.
𝑃(𝐸) 𝑃(𝐹) 𝑃(𝐸 𝑎𝑛𝑑 𝐹)
𝑃(𝐸 ∪ 𝐹) 𝑃(𝐹^𝑐)
Click here to see answer by Alan3354(69443)  |
Question 1191736: In a class there are 20 students. Eight (8) students are male and twelve (12) are female. Five (5) students have grades of (A), six (6) students have grades of (B) & three (3) students have (F) grades, the grade points are (A,B,C,D,F).
I) What is the probability that a male student would be selected as the class president?
II) What is the probability that a female student would be selected as the class president?
III) What is probability of the students having a (C) grade?
Click here to see answer by Boreal(15235) |
Question 1191748: The average time for a courier to travel from pittsburgh to harrisburg is 200 minutes, and the stnadard deviationis 10 minutes. If one of thes trips is selected at random, find the probability that the courier will have the following travel time. Assume that variable is normally distributed. a. at least 180 minutes b. at most 205 minutes
Click here to see answer by Theo(13342) |
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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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