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Question 1190725: The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He
selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 of the 100
TVs in the current lot are defective, find the probability that exactly 2 of the 5 TVs selected by
the engineer are defective.

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Question 1190724: . An economics professor is using a new method to teach a junior-level course with an enrollment
of 42 students. The professor wants to conduct in-depth interviews with the students to get
feedback on the new teaching method but does not want to interview all 42 of them. The
professor decides to interview a sample of 5 students from the class. How many different samples
are possible?

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Question 1190726: Over a period of three months during one​ year, an​ airline's rate of involuntarily denying boarding was 0.85 per​ 10,000 passengers.
What is the probability that in the next​ 10,000 passengers, there will be no one involuntarily denied​ boarding?

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Question 1190734: . The return on investment earned by Atkins Construction Company for four successive years
was: 30 percent, 20 percent, 40 percent, and 200 percent. What is the geometric mean rate of
return on investment?

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Question 1190735: during the decade of the 1990s, and into the 2000s, Las Vegas, Nevada, was the fastest growing city in the United States. The population increased from 258,295 in 1990 to 607,876 in
2009. This is an increase of 349,581 people, or a 135.3 percent increase over the period. The
population has more than doubled. What is the average annual percent increase?

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Question 1190737: During the war one truck out of nine was destroyed due to bombardment. What was the probability that exactly three out of six trucks would arrive safely ?
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Question 1190739: . A box contains four black and six white balls. What is the probability of getting two black balls
in drawing one after the other under the following conditions? a. The first ball drawn is not
replaced
b. The first ball drawn is replaced

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Question 1190744: . A committee of 4 people is to be selected from a group of 5 men and 7 women. If the selection
is made randomly, what is the probability the committee will consist of 2 men and 2 women

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Question 1190754: A certain retail establishment accepts either the American Express or the VISA credit card. A
total of 22 percent of its customers carry an American Express card, 58 percent carry a VISA credit card, and 14 percent carry both. What is the probability that a customer will have at least
one of these cards?

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Question 1190757: The following data give the yearly numbers of law enforcement officers killed in the United
States over 10 years: 164, 165, 157, 164, 152, 147, 148, 131, 147, 155, calculate sample
variance and standard deviation

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Question 1190761: The mean of a set of numbers is 500.
a. If 10 is added to each of the numbers in the set, then what will be the mean of the new set?
b. If each of the numbers in the set are multiplied by -5, then what will be the mean of the new
set?

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Question 1190764: Suppose that we roll a pair of fair dice, so each of the 36 possible outcomes is equally likely. Let
A denote the event that the first die lands on 3, let B be the event that the sum of the dice is 8, and
let C be the event that the sum of the dice is 7.
a. Are A and B independent?
b. Are A and C independent?

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Question 1190747: Suppose that we roll a pair of fair dice, so each of the 36 possible outcomes is equally likely. Let
A denote the event that the first die lands on 3, let B be the event that the sum of the dice is 8, and
let C be the event that the sum of the dice is 7.
a. Are A and B independent?
b. Are A and C independent?

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Question 1190763: . A random variable X has a normal distribution with mean 80 and standard deviation 4.8. What
is the probability that it will take a value:
A. Less than 87.2
B. Greater than 76.4
C. Between 81.2 and 86.0

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Question 1190748: The mean of a set of numbers is 500.
a. If 10 is added to each of the numbers in the set, then what will be the mean of the new set?
b. If each of the numbers in the set are multiplied by -5, then what will be the mean of the new
set?

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Question 1190787: The probabilities that the video card and hard disk of a computer will fail within one year are 0.05 and 0.07 respectively. Assume the components work independently, find the probability that both of them will work within one year.
Click here to see answer by ikleyn(52754) About Me 

Question 1190785: An ice-cream flavour survey of 720 people revealed that 300 people liked green tea, 260 people liked chocolate, while 50 people liked both. What is the probability that one person selected at random from the survey would like green tea or chocolate?
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Question 1190806: suppose that two balls are selected at random succession without replacement from a box containing five red and three blue balls .If X is the random variable for the number of red balls,find cumulative distribution function of X
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Question 1190784: A bag contains 3 black and 2 white balls. Two balls are taken out at random. The first ball taken out is found to be black, what is the probability that the second is white?
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Question 1190782: A building has 4 lifts. A lady takes a lift at random. What is the probability that she will use the same lift for going up and going down in a trip?
Click here to see answer by Alan3354(69443) About Me 

Question 1190746: According to tables provided by the National Center for Health Statistics in Vital Statistics of the
United States, there is roughly an 80% chance that a person of age 20 years will be alive at age 65
years. Suppose that three people of age 20 years are selected at random. Find the probability that
the number alive at age 65 years will be
A. exactly two.
B. at most one.
C. at least one.
D. Determine the probability distribution of the number alive at age 65.

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Question 1190729: The number of earthquake tremors in a 12-month period appears to be distributed as a Poison random variable with mean of 6. Assume the number of tremors from one 12-month period is independent of the number in the next 12-month period.
a. What is the probability that there are 10 tremors in 1 year?
b. What is the probability that there are 18 tremors in 2 year?
c. What is the probability that there are no tremors in a 1-month period?
d. What is the probability that there are more than 5 tremors in a 6-month period?

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Question 1190786: The probability that a typist will make at most 5 mistakes when typing a report is 0.59 and the probability that she will make 6 to 10 mistakes is 0.26. Find the probability that the typist will make at most 10 mistakes.
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Question 1190821: In a large bucket, there are umbrellas of colours yellow, blue and black. The numbers of yellow, blue and black umbrellas are in the ratio 9 : 10 : 11. If an umbrella is picked at random, what is the probability of getting a yellow umbrella?
Click here to see answer by Solver92311(821) About Me 

Question 1190820: Amy and Bill are two of the 10 people joining a massive online game. If two people are to be selected at random as group leaders, find the probability that both Amy and Bill are selected.
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Question 1190736: For a student enrolling at freshman at certain university the probability is 0.25 that he/she will
get scholarship and 0.75 that he/she will graduate. If the probability is 0.2 that he/she will get
scholarship and will also graduate. What is the probability that a student who get a scholarship
graduate?

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Question 1190683: A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would be defective. With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is
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Question 1190850: On a TV game show, 12 people have won the grand prize and a total of 498 people have competed. Estimate the probability of winning the grand prize
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Question 1190835: If the inverse conditional posterior probability formulas are
P(A|B) = [P(B|A)*P(A)]/[P(B|A)*P(A)+P(B|¬A)*P(¬A)], and
P(¬A|¬B) = [P(¬B|¬A)*P(¬A)]/[P(¬B|¬A)*P(¬A)+P(¬B|A)*P(A)],
then what are the posterior probability equations for P(A|¬B), and P(¬A|B)?
P(A|¬B) = ?
P(¬A|B) = ?
Thanks.

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Question 1190863: Nonstandard dice can produce interesting distributions of outcomes. You have two balanced, six-
sided dice. One is a standard die, with faces having one, two, three, four, five, and six spots.
The other die has three faces with one spot and three faces with six spots. Find the probability
distribution for the total number of spots Y on the up-faces when you roll these two dice.

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Question 1190871: How many courses? At a small liberal arts college, students can register for one to six courses. Let X be the number of courses taken in the fall by a randomly selected student from this college. In a typical fall semester, 6% take one course, 6% take two courses, 12% take three courses, 20% take four courses, 41% take five courses, and 15% take six courses. Let X be the number of courses taken in the fall by a randomly selected student from this college. Describe the probability distribution of this random variable.
-->Use a probability histogram to provide a graphical description of the distribution of X.

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Question 1190869: For each of the following situations, state the probability rule or rules that you would use and apply it or them. Write a sentence explaining how the situation illustrates the use of the probability rules.
a)A coin is tossed three times. The probability of zero heads is 1/8, and the probability of zero tails is 1/8. What is the probability that all three tosses result in the same outcome?
b)Refer to part (a). What is the probability that there is at least one head and at least one tail?
c)The probability of event A is 0.5, and the probability of event B is 0.9. Events A and B are disjoint. Can this happen?
d)Event A is very rare. Its probability is −0.04. Can this happen?
e)The probability of event A is 0.23. What is the probability that event A does not occur?
f)You toss a coin two times. It is not a fair coin, and you do not know the probability of a head. What is the probability that either zero, one, or two heads appear?

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Question 1190870: Distribution of blood types. All human blood can be “ABO-typed” as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in the United States:
Blood type U.S. probability
A 0.42
B 0.11
AB 0.03
O ?
a)What is the probability of type O blood in the United States?
b)Sasha has type A blood. She can safely receive blood transfusions from people with blood types O and A. What is the probability that a randomly chosen person from the United States can donate blood to Sasha? (This exercise and the one that follows ignore the Rh factor, another classification of blood types that is related to whether one person can donate blood to another.)

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Question 1190895: Not all visitors to a certain company's website are customers or potential customers. In fact, the company's executives estimate that about 8 of all visitors to the website are looking for other websites. Assume that this estimate is correct and that a random sample of 40 visitors to the website is taken.
A. Estimate the number of visitors in the sample who actually are looking for the company's website by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
B. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.

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Question 1190887: Two cards are chosen with replacement from a standard deck of playing cards. Let the random variable X represent the number of times a heart is chosen. What is the probability of that X=0?
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Question 1190900: Suppose that you have a barrel with 5 apples and 8 oranges in it. If 3 fruits are selected, what is the probability you select exactly 2 apples?
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Question 1190899: I need your help with this!
Assume Pr[A]=0.3, Pr[B]=0.4, and Pr[A∩B]=0.05. Find the following values:
Pr[B|A] =
Pr[A|B′] =
Pr[B′|A′] =

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Question 1190937: what is the mean and standard deviation of the sampling distribution of proportions respectively, given that n=100 and p= 0.5
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Question 1190921: Commute times (amounts of time it takes people to commute from home to work) of people in a small town are normally distributed with a mean of 35 minutes and a standard deviation of 9.7 minutes.
Find the z-score that corressponds to the 90 th percentile. Round your answer to two decimal places.


Find the commute time in the normal distribution above that corressponds to the 90 th percentile. Round your answer to one decimal place.

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Question 1190981: The probabilities that a shop will make a profit and break even are 0.6 and 0.1 respectively. What is the probability that the shop will lose?
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Question 1190983: The probability that a new mobile phone battery will fail in the first 6 months is 0.13. Find the probability that the battery will last more than 6 months.
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Question 1190982: In a large bucket, there are umbrellas of colours yellow, blue and black. The numbers of yellow, blue and black umbrellas are in the ratio 9 : 10 : 11. If an umbrella is picked at random, what is the probability of getting a yellow umbrella?
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Question 1190986: In a particular geographic region, 60% of the people are regular smokers, and evidence indicates that 10% of the
smokers have lung cancer. Find the percentage of people who are smokers and have lung cancer.

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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, 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