Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1195501: During the summer months, a rental agency keeps track of the number of chain saws it
rents each day during a period of 90 days. The number of saws rented per day is
represented by the variable X. The results are shown below. Compute the probability
P(X) for each X .
X Number of Days
1 45
2 30
3 15
Total 90
Click here to see answer by greenestamps(13195)  |
Question 1195498: another big question. thank you. i wonder if i could solve these on desmos or wolfram alpha...
The mean number of miles (in thousands) that a car's tire will function before needing replacement is 68; the standard deviation is 16 (also in thousands). Assume a normal distribution.
a) If we test 44 tires, find the probability that the average miles (in thousands) before need of replacement is between 71.3 and 73.4. Round your answer to 4 decimal places.
P(71.3 < x bar < 73.4)=
b) Is the assumption that the distribution is normal necessary in order for you to answer part a?
Yes
No
c) If a randomly-selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 71.3 and 73.4. Round your answer to 4 decimal places.
P(71.3 < x < 73.4)=
d) Is the assumption that the distribution is normal necessary in order for you to answer part c?
Yes
No
Click here to see answer by math_tutor2020(3816) |
Question 1195496: ok, this is a big one. i need help with all of them, please and thank you. i wonder if i could figure this out on wolfram alpha or desmos!
Scores for a common standardized college aptitude test are normally distributed with a mean of 502 and a standard deviation of 111 . Randomly-selected women are given a Preparation Course before taking this test.
a) If one of the women is randomly selected, find the probability that her score is at least 565.7. Enter your answer as a number accurate to 4 decimal places.
b) If nineteen of the women are randomly selected, find the probability that their mean score is at least 565.7. Enter your answer as a number accurate to 4 decimal places.
c) I initially assumed that the Preparation Course had no effect on people's test scores. A random sample of nineteen women does result in a mean score of more than 565.7. Is there strong evidence to support a claim that I was wrong -- and the Preparation Course is actually effective? Yes or No
Yes. The probability indicates that -- if the Preparation Course has no effect -- it is highly unlikely that a randomly selected group of women would get a mean higher than 565.7 by chance.
No. The probability indicates that -- even if the Preparation Course has no effect -- it isn't unlikely to randomly select a group of women with a mean higher than
565.7 by chance.
Click here to see answer by Theo(13342)  |
Question 1195499: more normal distribution that i need help understanding. and learning how to use technology to help. thank you.
Suppose that Denver workers have a mean commute of 22 minutes and commute times are normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected Denver worker.
Find the 85th percentile for the commute time of Denver workers. Round your answer to 1 decimal place.
The 85th percentile is minutes.
Click here to see answer by Theo(13342)  |
Question 1195514: A group of 15 individuals is used for a biological case study. The group contains 3 people with blood type O, 5 with blood type A, 4 with blood type B, and 3 with blood type AB. What is the probability that a random sample of 7 will contain 2 persons with blood type O, 2 persons with blood type A, 2 persons with blood type B, and 1 person with blood type AB?
Click here to see answer by greenestamps(13195)  |
Question 1195514: A group of 15 individuals is used for a biological case study. The group contains 3 people with blood type O, 5 with blood type A, 4 with blood type B, and 3 with blood type AB. What is the probability that a random sample of 7 will contain 2 persons with blood type O, 2 persons with blood type A, 2 persons with blood type B, and 1 person with blood type AB?
Click here to see answer by ikleyn(52750)  |
Question 1195518: In a class of 30 students, 16 are democrats, 4 are business majors, and 3 of the business major are democrats. If one student is randomly selected, find the probability of choosing a Democrat or a business major
Click here to see answer by ikleyn(52750)  |
Question 1195519: In the 6/49 lotto game, suppose that the minimum prize is 20 pesos, which you can win by guessing 3 out of 6 numbers correctly. The prize goes up as you guess more numbers correctly. What is the probability of not winning prizes of any amount?
Click here to see answer by ikleyn(52750)  |
Question 1195484: Based on historical data , your manager believes that 31% of the company's orders come from first-time customersA random sample of 129 orders will be used to estimate the proportion of first-time-customers . What is the probability that the sample proportion is between 0.26 and 0.437
Click here to see answer by Boreal(15235)  |
Question 1195530: Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.)
𝜇 = 20; 𝜎 = 3.8
P(x ≥ 30) =
Click here to see answer by ikleyn(52750)  |
Question 1195541: Charltons crcket team had the following results over their last 20 matches.
W W L D D W W L W L D L L D W D W W L L
Complete the Frequency table
Outcome Frequency
W
D
L
b) Charltons reasons that since there are 3 possible results for any match, the probability that the next match will be drawn (D) is 1\3. Explain why Charlton is wrong?
Click here to see answer by ikleyn(52750)  |
Question 1195541: Charltons crcket team had the following results over their last 20 matches.
W W L D D W W L W L D L L D W D W W L L
Complete the Frequency table
Outcome Frequency
W
D
L
b) Charltons reasons that since there are 3 possible results for any match, the probability that the next match will be drawn (D) is 1\3. Explain why Charlton is wrong?
Click here to see answer by math_tutor2020(3816) |
Question 1195524: 3. The frequency distribution of the weights of 60 pieces of luggage, recorded to the nearest kilogram, belonging to the passengers on a flight from Manila to Cebu is shown below:
Weight (kilograms) Pieces
7-9 2
10-12 8
13-15 10
16-18 17
19-21 23
22-24 3
Calculate the range and the mean.
Click here to see answer by ikleyn(52750)  |
Question 1195730: The probability that a patient recovers from a certain type of operation is 0.79. What is the probability that 3 of the next 4 patients who have this operation survived? & what is the probability that all of the next 4 patients who have this operation survive?
Click here to see answer by Boreal(15235)  |
Question 1195729: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities.
A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certain country's mainland per year was about 0.44. Find the probability that in a given year (a) exactly one major hurricane will strike the mainland, (b) at most one major hurricane will strike the mainland, and (c) more than one major hurricane will strike the mainland.
Question content area bottom
Part 1
(a) P(exactly one major hurricane will strike the mainland)
enter your response here
(Round to three decimal places as needed.)
Click here to see answer by Boreal(15235)  |
Question 1195744: The television show Law & Disorder has been successful for many years. That show recently had a share of 31, which means, that among the TV sets in use, 31% were tuned to Law & Disorder. An advertiser wants to verify that 31% share value by conducting its own survey, and a pilot survey begins with 13 households have TV sets in use at the time of a Law & Disorder broadcast.
Click here to see answer by math_tutor2020(3816) |
Question 1195754: allergist claims that 50% of the patients she tests are allergic to some type of weed. what is the probability that (a) exactly 3 of her next 4 patients are allergic to weed? (b) none of her next 4 patients are allergic to weed.
Click here to see answer by ikleyn(52750)  |
Question 1195763: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is appropriately 76.3. You would like to be 98% confident that your estimate is within 2.5 points of the true population mean. How large of a sample is required?
Click here to see answer by math_tutor2020(3816) |
Question 1195765: The table shows the prizes and probabilities of winning (on a single $1 ticket) for a particular state lottery.
column chart ( (Prize (dollars) Probability)
(9 million (jackpot) 1 in 76,275,360)
(150,000 (1 in 2,179,296)
5000 (1 in 339,002)
150 (1 in 9686)
100 (1 in 7705)
5 (1 in 220)
2 (1 in 102 )
1 (1 in 62)
How much would you expect to win or lose if you bought one $1 ticket every day for a year? Round to the nearest dollar.
Click here to see answer by ikleyn(52750)  |
Question 1195796: 11.An investigator wants to know the relationship between the car’s distance and the sales price. Data were collected on the distance of the cars traveled and the sale price for 10 private sales of model year 2000.
Miles (1000s) Price ($1000s)
90 7
59 7.5
66 6.6
87 7.2
90 7
106 5.4
94 6.4
57 7
138 5.1
87 7.5
Required:
a)Develop a scatter diagram with miles as the independent variable.
b)Use the least squares method to develop the estimated regression equation.
Click here to see answer by ikleyn(52750)  |
Question 1195795: 4.HU Entrepreneurship and Business Incubation Centers surveyed a random sample of 1000 students concerning
inclination to entrepreneurship. Respondents were classified by gender (male or female) and by education background
(Technology, Business, Agriculture or Others). Results are shown in the contingency table below.
Gender Voting Preferences
Technology Business Agriculture Others
Female 150 100 100 50
Male 200 200 150 50
Click here to see answer by ikleyn(52750)  |
Question 1195793: 2.Past data indicated that attrition rate of students in HU is 10%. Students’ Union believes that the attrition rate has decreased last academic year. To test this assumption the union selected 150 students randomly and 12 students, who do not completed their education, leaved the university. Formulate hypothesis testing with 5% α; assume the distribution is normally distributed.
Click here to see answer by Boreal(15235)  |
Question 1195790: 1. Forty-four items are randomly selected from a population of 490 items. The sample mean is 33, and the sample standard deviation is 6. Develop a 95% confidence interval for the population mean. (Round final answer to 2 decimal places.)
The confidence interval level between ___ and _____
Click here to see answer by Boreal(15235)  |
Question 1195772: I survey of 22 recharge was taken among other things the retired to ask to report the age of which they retired hear those 22 ages in years 33 43 46 47 51 51 55 56 61 61 62 63 64 64 67 68 69 71 71 72 73 77 for these days which measures of central tendency to take more than one value and supposed to measure 77 was removed and replaced with 83 which measure of central tendency would be affected starting at the original data set the largest measurements were removed which measures send a text would be changed and is this the negative excuse probably skewed or roughly symmetrical
Click here to see answer by Boreal(15235)  |
Question 1195798: Lottery. A $2 Powerball lottery ticket has a 1/27.05 prob-
ability of winning $4, a 1/317.39 probability of winning $7, a 1/10,376.47 probability of winning $100, a 1/913,129.18 probability of winning $50,000, a 1/11,688,053.52 probabil- ity of winning $1,000,000, and a 1/292,201,338 probability of winning the Grand Prize. If the Grand Prize is currently $100,000,000, what is the expected value of a single Power- ball lottery ticket?
Click here to see answer by ikleyn(52750)  |
Question 1195800: A test of the ability to identify odors includes 40 questions.
For each, 4 suggested answers are provided, only 1 of which is correct.
The subject selects 1 of these 4 as the answer given.
After administering the test it is found that the answer given matches
the correct answer 17 times. What is the probability that these 17
correct answers arose by chance from guessing?
More info:
The same subject is asked to select from a Likert scale of 0 to 5, the
level of confidence or certainty for each answer given. 0 = I smell nothing; 1 = No idea; 2 = I smell something, but don’t recognize it; 3 = fairly certain, 4 = very certain, 5 = no doubt about it. The subject can for each response, select a value between each point on the 0 to 5 scale. Example: 3.6. The person who had the score of 17 mentioned above, is found to have a mean level of certainty = 1.55750¹1.06110 (SD) giving a variance = 1.12594.
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, 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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