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Question 1116361: A study claims that all adults spend an average of 14hours or more on chores dring a weekend.A reseacher wanted to check if this claim is true.A random sample of 200 adults taken by this researcher showed that these adults spend an average of 14.65 hours on chores during a weekend.The population standard deviation is known to be 3.0hours.
A.Find the p-value for the hypothesis test with the alternative hypothesis that all adults spend more than 14hours on chores during a weekend.will you reject the null hypothesis at alpha=0.01?
B.Test the hypothesis of part a using the critical-value approach and aplha=0.01?

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Question 1116238:
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Question 1116373: Consider a collection of envelopes consisting of 2 red envelopes ​, 1 blue envelope, 1 green envelope​, and 22 yellow envelopes. If two envelopes are selected at​ random, with​ replacement, determine the probability that both are blue envelopes.
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Question 1116372: A license plate is to consist of 5 digits followed by 4 uppercase letters. Determine the number of different license plates possible if the first and second digits must be​ odd, and repetition is not permitted.
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Question 1116352: Hi, I'm trying to finish some Statistics homework and this is the last question for this chapter that I can't seem to get right, even with Pearson's question help. Thank you for your time.
Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that exactly 4 of them use their smartphones in meetings or classes.

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Question 1116241: At a traffic signal there are 3 cars arriving in a minute. A random sample of 1500 minutes is taken and 7,500 cars were observed arriving at the signal. Are the number of cars arriving at the signal going up? Test at a 5% level of significance?
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Question 1116239: A market gardener in Tonga sells cabbages to a supermarket. She claims that the weights of the cabbages have a normal distribution with a mean weight of 1200 grams and a standard deviation of 50 grams.
(i) A cabbage is chosen at random, calculate the probability that its recorded weight is less than 1190 grams.
(ii) A consumer officer for the supermarket checks the gardener’s claim by weighing 40 of the cabbages. If the market gardener’s claim is true, calculate the probability that the 40 cabbages have a mean weight of less than 1190 grams.

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Question 1116438: In a class there are 45 ways to make pairs of
students. How many students are there in the class?

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Question 1116437: A 1-inch diameter coin is thrown on a table
covered with a grid of lines two inches apart. What
is the probability the coin lands in the square without
touching any of the lines of the grid?

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Question 1116435: 6. The Tall Peoples and the Airplanes are two
football teams.
a. The probability that the Tall Peoples win the
Really Good Plate is p. The probability that the
Airplanes win the Really Good Plate is q. What is
the probability that one of his teams will win?
b. When it is not snowing, the probability of the Tall
Peoples winning a football game is 7
When it is snowing, the probability of the Tall Peoples winning
is 2/5. The probability of snow on any day is 1/2. What
is the probability of the Tall Peoples winning on any
day? If the Tall Peoples won, what is the probability
that the team played in the snow?

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Question 1116432: Suppose P(A)=0.3 and P(B)=0.4 and P(A∩B)=0.12. Find:
a. P(B')
b. P((A∩B)')
c. P((A∪B)')
('=complement)

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Question 1116432: Suppose P(A)=0.3 and P(B)=0.4 and P(A∩B)=0.12. Find:
a. P(B')
b. P((A∩B)')
c. P((A∪B)')
('=complement)

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Question 1116392: Jacob has a collection of 20 True or False questions and wishes to choose 5 of them as a quiz. How many quizzes can be made?
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Question 1116431: A standard poker hand consists of 5 cards out of a
standard 52-card deck. A royal flush is a hand where
the 5 cards are 10, J, Q, K, A and all of the same suit.
A 4 of a kind is a hand where you have 4 cards of the
same value and any other fifth card.
a. Find the probability of a royal flush.
b. Find the probability of a 4 of a kind.

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Question 1116403: The manager of a hotel has stated that the mean guest bill for a weekend is Birr 400 or
less. A member of the hotel’s accounting staff has noticed that the total charges for guest
bills have been increasing in recent months. The accountant will use a sample of weekend
guest bills to test the manager’s claim.
Required: State the null and alternative hypotheses

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Question 1116433: In a class of 15 students, the probability of a
student passing an exam is 1/4.
What is the probability that at least 2 students pass?

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Question 1116434: A class of 18 students are taking an exam. The
probability of passing an exam is higher than the
probability of failing. If the probability that half the
students pass the exam is 0.0642543198, find the
probability of passing the exam.

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Question 1116464: you accidentally dial one number on your phone keypad. Find the probability that the number you dialed is less than 10
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Question 1116469: Blue Nile University recently conducted a survey of undergraduate students in order to
gather information about the usage of the library. The population for this study included
all 4000 undergraduate students enrolled in the university. The library officers are
interested in increasing usage, particularly among females (F) and seniors (S) at the
university. Of the 4000 students, 800 students are seniors, 1800 students are females and
450 of the 1800 females are seniors.
Required:
• What is the probability that a student selected at random is a senior given that the
selected student is female?
• What is the probability that a student selected at random is female given that the
selected student is senior

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Question 1116468: The distribution of annual earnings of all bank tellers with five years of experience is skewed negatively. This distribution has a mean of Birr 15,000 and a standard deviation of Birr 2000. If we draw a random sample of 30 tellers, what is the probability that their earnings will average more than Birr 15,750 annually?
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Question 1116518: In a razor blade factory, machines A,B and C manufacture 25%, 35% and 40% of the total output respectively. of their outputs, 5%, 4% and 2% are defective razor blades. A razor blade is chosen at random and found to be defective.
Find the probability that the razor blade is defective
A razor blade is selected at random and it is found to be defective. find the probability that it was manufactured by machine B
find the probability that the

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Question 1116516: In a razor balde factory, machines A,B abd C manufacture 25%, 35% and 40% of the total output respectively. of theri outputs, 5%, 4% and 2% are defective razor blades. A razor blade is chosen at random and found to be defective. a razor blade is selected at random and it is found to be defective. find the probability that it was manufactured by machine B
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Question 1116544: Suppose ACT Mathematics scores are normally distributed with a mean of 21.3 and a standard deviation of 5.3. A university plans to send letters of recognition to students whose scores are in the top 11%. What is the minimum score required for a letter of recognition? Round your answer to the nearest tenth, if necessary.
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Question 1116572: There are 8 red, 5 blue and one yellow disc in a jar A.
In jar B, there are 10 red, 9 blue and 2 white discs.
A disc is drawn at random from each jar. Find the probability that
a) both discs are white
b) both discs are red
c) both discs are the same colour
d)both diss are different colour

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Question 1116576: home / study / math / statistics and probability / statistics and probability questions and answers / a distribution and the observed frequencies of the values of a variable from a simple random ...
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Question: A distribution and the observed frequencies of the values of a variable from a simple random samp...
A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the? chi-square goodness-of-fit test to? decide, at the specified significance? level, whether the distribution of the variable differs from the given distribution.
Distribution: 0.2, 0.1, 0.1,0.2,0.4
Observed? frequencies: 14, 7, 44, 11,14
Significance level=0.10
i. Compute the value of the test statistic, chisquare
ii. Identify the P value
iii. Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution?

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Question 1116605: I need help with calculating Deciles! I have calculated it but my answers seems to be wrong! I do not understand what my mistake is. :(
a. D1 b. D5 c. D9
Class Interval-----Frequency-------Cumulative Frequency:
18-21----4----60
14-17---16----56
10-13---20----40
6-9-----14----20
2-5-----6------6
Summation of frequency: 60

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Question 1116615: Two cards are randomly selected from a standard 52-card deck. What is the probability of getting 2 hearts or 2 numbers less than 6 (count aces as 1)?
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Question 1116646: Help with probability questions!
a. What are the chances of a rolling a die where an even multiple of 4 comes up?
b. What is the probability of getting a heart or face card when drawing one card at random from a 52 deck cards?
c. A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble, green marble, blue marble and yellow marble?

With steps please! Thank you

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Question 1116651: What are the chances of a rolling a die where an even multiple of 4 comes up?
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Question 1116669: The population means and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.
For a sample of n equals 70, find the probability of a sample mean being less than 19.5 if u equals20 and o equals1.19.

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Question 1116679: the result of an examinatio. given to a class on three person A,B,C are :40%failed in paper A ;30 %failed in B;25%failed in paper C .15%failed in paper A and B;12%failed in B and C both;10% failed i. A and C ;and 3%failed in all three A,B and C.whag is the probability of a randomly sl3cted candidates passing in all the three papers?
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Question 1116664: In a given year, 24% of the people in a community use the emergency room at the local hospital.
A random sample of 26 people is selected.
A researcher wishes to know the probability that a fixed number of individuals in the sample will have used the emergeny room in the last year.


a) Explain why this situation will involve a binomial probability distribution.


b) Find the probability that in a sample of 26, exactly 9 people used the emergency room.


c) Find the probability that in a sample of 26, 9 or fewer people used the emergency room.

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Question 1116691: In a lottery daily game, a player picks three numbers from 0 to 9. How many different choices does the player have if order doesn’t matter?
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Question 1116690: At a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door prize. If all 5 prizes are identical, in how many ways can the prizes be awarded?
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Question 1116687: In how many ways can first, second, and third prizes be awarded in a contest with 210 contestants?
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Question 1116686: How many four-letter "words" can be made from 6 letters "AEBWDP" if
repetition of letters is allowed
repetition of letters is not allowed

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Question 1116720: Vince chooses 3 side dishes from a total of 10 side dishes offered on the menu. In how many different ways can he choose his side dishes?

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Question 1116741: Ten percent of computer parts produced by a certain supplier are defective. What is the probability that a sample of 10 parts contains more than 3 defective ones?
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Question 1116767: Find the value E, the margin for c=0.99, n= 10, and s=3.6
What is the Value of E?

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Question 1116768: A survey of 280 homeless persons showed that 63 were veterans. Construct a​ 90% confidence interval for the proportion of homeless persons who are veterans.
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Question 1116804: Three newspapers A, B and C are published in
a certain city. It is estimated from a survey
that of the adult population : 20% read A,
16% read B, 14% read C, 8% read both A and
B, 5% read both A and C, 4% read both B and
C, 2% read all three. Find what percentage
read at least one of the newspapers?

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Question 1116828: When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that thesum is a multiple of 3 or greater than 8.
A. 5/12 B. 1/2 C. 13/18 D. 17/36

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Question 1116840: A committee of 5 people is selected from a group of 9 men and 11 women. In how many ways can the committee be selected so it contains at least 1 woman?
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Question 1116829: card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a spade?
A. 25/52 B. 1/2 C. 6/13 D. 11/26
Initially I thought the answer was A because it only makes sense, but it turns out the answer is D. How is this right?

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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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