Questions on Algebra: Probability and statistics answered by real tutors!

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Question 513298: It would be helpful if some one could show me how this problem is done, because I actually want to understand it.
Two people go hunting, each fire one shot at a deer. The probability that the first person hits the deer is .3 and the probability that the second person hits the deer is .4. The shots are independent. Find the conditional probability that the second person hit the deer given that exactly one shot hit the deer.
All help appreciated. Thanks in advance!! :D

Click here to see answer by scott8148(6628) About Me 

Question 513336: Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 95 bank accounts, we want to take a random sample of seven accounts in order to learn about the population. How many different random samples of seven accounts are possible?

Click here to see answer by drcole(72) About Me 

Question 513378: Suppose that we have a sample space S {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, ..., E7 denote the sample points. The following probability assignments apply:
P(E1) = 0.05, P(E2) = 0.2, P(E3) = 0.15, P(E4) = 0.2, P(E5) = 0.1, P(E6) = 0.05, and P(E7) = 0.25.
Assume the following events when answering the questions.


Find P(A), P(B), and P(C).
P(A)
P(B)
P(C)

What is P(A B)?


What is P(A B)?


Are events A and C mutually exclusive?
- Select your answer -Yes, they are mutually exclusiveNo, they are not mutually exclusiveItem 6

What is P(Bc )?.


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Question 513420: Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.65 and P(B) = 0.35.

What is P(A B)? that symbol between a and b is upsidedown U...


What is P(A | B)?


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Question 513622: It is known that 40% of the animals in a farm inoculated with a serum are protected from a certain disease. If five of the animals are inoculated, find the probability that none of them contracts the disease?
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Question 513674: I need to find the lower limit and upper limit of the 99% confidence interval.
Group 1
n(down 1) = 20
sample mean (down 1) = 220.7
sample variance (up 2) (down 1) = 134.6
Group 2
n (down 2) = 17
sample mean (down 2) = 228.4
sample variance (up 2) (down 2) = 13396
Construct a 99% confidence interval for stdev(up 2)(down 1)/stdev(up 2)(down1) the ratio of the variances of these two populations.
Carry your intermediate computations to at least three decimal places. Write your final responses to at least two decimal places.
My apologies about not knowing how to write these appropriately in an electronic form and having to write them with ups and downs.
What is the lower limit of the 99% confidence interval?
What is the upper limit of the 99% confidence interval?

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Question 513862: A hat contains six one dollar bills, three five dollar bills and one ten dollar bill. A bill is chosen at random. I need a probability distribution for x, where x represents the value of the bill. Find M and lower case sigma?
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Question 513784: How many three-digit numbers can be formed using only the digits 0 and 5?
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Question 513600: a die was toes 96 times and a one spot was observed 20 times. does this differ from what is expected by chance?
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Question 513966: a camera company surveyed 1000 people at random and asked how long film remianed in camera. 58% said less than one month, 20% said 1 to 3 months, and 22% said over 3 months. If a sample of 8 people who owned cameras is randomly selected, what is probability that 5 people have film that remianed in camera less than 1 month, 1 had film that remiained in camera 1 to 3 months, and 2 people had film that remianed in camera over 3 months?
Click here to see answer by drcole(72) About Me 

Question 514001: the total cholesterol in children aged 10-15 is assumed to follow a normal distribution with a mean of 191 and a standard deviation of 22.4.
what is the proportion of children 10-15 years of age have total cholesterol between 180 and 190?

Click here to see answer by stanbon(75887) About Me 
Question 514001: the total cholesterol in children aged 10-15 is assumed to follow a normal distribution with a mean of 191 and a standard deviation of 22.4.
what is the proportion of children 10-15 years of age have total cholesterol between 180 and 190?

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Question 514087: Does statistical significance imply clinical significance? Why or why not?
Click here to see answer by oberobic(2304) About Me 

Question 514255: one in four americans own stock, in a random sample of ten people, what is the probability that the number owning individual stocks is?
Exactly 2=0.0282 (???)
At most two?
More than two?=0.718 (???)

Click here to see answer by stanbon(75887) About Me 

Question 514385: If the odds against Ealgenton winning the election are 2 to 7, then what is the probability the eagleton will win the election?

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Question 514410: what is the mathematical formula? if you have 30 apples, eat 20 but 18 were rotten?
Click here to see answer by Alan3354(69443) About Me 

Question 514409: if 7 out of 10 students said that they will study for their midterm, how many students out of 300 would you also expect to study?
Click here to see answer by richwmiller(17219) About Me 

Question 514457: The width of the Confidence Interval is inversely related to the Maximum Error of Estimate. T or F? Why or why not?
Click here to see answer by stanbon(75887) About Me 

Question 514572: a high school marching band has 55 male members. It is determined that five-eighths of the band members are male. What equation represents the total number of members in the band?
Click here to see answer by solver91311(24713) About Me 

Question 514578: There are 65 students in a class, 32 are sophmores, 36 are history majors and 6 are neither.
(a) What is the probability that a student is both a sophmore and a history student
(b)Given the student is a sophmore, what is the propability the student is also a history major?
I believe there is a formula for this type of probabilty...poss like classic truth tables, this is a refresher for me.. not sure what type of formula or how to imput the information- Jessica

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Question 514630: There are 5 true and false questions on a test. How many different ways are there to answer the questions?
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Question 514504: Past records suggest that the mean annual income,M1, of teachers in state of pennsylvania is less than or equal to the mean annual income,M2, of teachers in Illinois. In a current study, a random sample of 10 teachers from pennsylvania and an independent random sample of 10 teachers from Illinois have been asked to report their mean annual income. The data obtained are as follows:
Penn: 37690, 46247, 48701, 34034, 57917, 48242, 50458, 51369, 38914, 47479
Illi: 37791, 39098, 50192, 48432, 38754, 43492, 38217, 53576, 51972, 55200
The population standard deviation for mean annual income of teachers in pennsylvania and in Illinois are estimated as 6400 and 6100, respectively. It is also known that both populations are approximately normally distributed. At the level 0.01 of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of pennsylvania is less than or equal to the mean annual income of teachers in Illinois? Perform a one-tailed test. Then fill in the table below.
Null hypothesis:
Alternative Hypothesis:
The type of test statistic (plus degrees of freedom if t)
Value of test statistic:
The critical value at the 0.01 level of significance rounded to at least 3 decimal places:
Can we reject the claim that the mean annual income of teachers from pennsylvania is less than or equal to the mean annual income of teachers from illinois?

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Question 514831: What is the probability of correctly picking a sequence of four numbers when each number can be 0 through 9 and each is independent of the other?
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Question 514847: Bob, Mary, and Jen go to dinner. Each orders a different meal. The waiter forgets who ordered which meal, so he randomly places the meals before the three diners. Let C be the event that a diner gets the correct meal and let N be the event that a diner gets an incorrect meal.
Enumerate the sample space and then find the probability that:
(a) No diner gets the correct meal. (Round your answer to 4 decimal places.)
Probability
(b) Exactly one diner gets the correct meal.
Probability

(c) Exactly two diners get the correct meal.
Probability
(d) All three diners get the correct meal. (Round your answer to 4 decimal places.)
Probability

Click here to see answer by solver91311(24713) About Me 

Question 514846: Bob, Mary, and Jen go to dinner. Each orders a different meal. The waiter forgets who ordered which meal, so he randomly places the meals before the three diners. Let C be the event that a diner gets the correct meal and let N be the event that a diner gets an incorrect meal.
Enumerate the sample space and then find the probability that:
(a) No diner gets the correct meal. (Round your answer to 4 decimal places.)
Probability
(b) Exactly one diner gets the correct meal.
Probability

(c) Exactly two diners get the correct meal.
Probability
(d) All three diners get the correct meal. (Round your answer to 4 decimal places.)
Probability

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Question 514939: How many different numbers can be formed from the digits 0, 1, 3, 5, 7, 9 such that each number is between 2000 and 4000 ?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 514965: A corporation that maintains a large fleet of company cars for the use of its sales staff is interested in the mean distance driven monthly per sales person. The following table gives the monthly distances in miles driven by a random sample of 16 sales persons:
2011, 1969, 2396, 2365, 2014, 2184, 2234, 2141, 2419, 2041, 1922, 2616. 2377, 1942, 2227, 2519
Based on this sample, find a 90% confidence interval for the mean number of miles driven monthly by members of the sales staff, assuming that monthly driving distances are normally distributed. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
What is the lower limit of the confidence interval?
What is the upper limit of the confidence interval?

Click here to see answer by stanbon(75887) About Me 

Question 515002: four cards are drawn from an ordinary deck. what is the expected number of hearts in the draw
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Question 515024: what is the probability that when flipping a fair coin you get ten consecutive heads?
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Question 515039: Flip a fair coin 14 times. Find the probability of getting the following outcome. (Round your answer to three decimal places.)
at most 2 heads
I did (2+14)(.5)^14 and got .000976562 and rounded it to .001 but it wasnt right

Click here to see answer by Edwin McCravy(20054) About Me 

Question 515085: Asking again because email was entered wrong
Find the probability of the given value of x
mean = 28 standard deviation= 6.5 and x is equal to or less than 20
We are using the standard distribution z chart and I know it is plus or minus .5
However, I do not get the right answers
We are using z=x-u/o formula

Click here to see answer by drcole(72) About Me 

Question 515090: Commercial radio station call letters are composed of four letters* of the English alphabet (such as WABC). Stations located east of the Mississippi must start with W. How many different 4-letter radio station call letters are possible? Repetition is permitted. *in early radio, only three were necessary such as WOR.


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Question 515045: An event E has a probability p = p(E) = 0.3 in some sample space. Suppose the experiment that yields this sample space is repeated six times and the outcomes are independent. Find the probability of getting the following outcome. (Round your answer to six decimal places.)
E exactly two times
i did C(6,2)(.3)^2(1-.3)=.945, but it wasnt right. Please help

Click here to see answer by drcole(72) About Me 

Question 515092: Alexia bought little bags of nuts to take on her bus trip. She had two bags of cashews, three of pecans and three of pine nuts. If she pulls out two bags at random (without replacement) what is the probability that they will be different kinds of nuts?
Click here to see answer by htmentor(1343) About Me 

Question 515116: 5 batteries... 3 bad and 2 good. if you pick 4, what is the probability that you will get 2 good and 2 bad?

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Question 515095: Three fair dice are shaken and rolled onto a table. What is the probability that all three dice will display an odd number of spots on their top faces?
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Question 515095: Three fair dice are shaken and rolled onto a table. What is the probability that all three dice will display an odd number of spots on their top faces?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 515094: Given that E and F are mutually exclusive events with the P(E) = 0.3 and the P(F) = 0.6, calculate the intersection of E and F.
Click here to see answer by stanbon(75887) About Me 

Question 515091: EMTs respond to an "overdose" call. Upon arrival, they find five prescription drugs on the kitchen table labeled A, B, C, D, E. Only the A-D pair is lethal. If the patient took three drugs, what is the probability that s(he) ingested a lethal pair?
Click here to see answer by stanbon(75887) About Me 

Question 515083: Find the probability of the given value of x
mean = 28 standard deviation = 6.5 and x equal or less than 20
I need simple steps I know the formula is z= x-u/o and plus or minus .5 but I do not seem to come out right we are using the standard normal distribution chart

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Question 515200: An identification code is to consist of two letters followed by nine digits. How many different codes are possible if repetition is permitted?
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Question 515140: A bag contains 4 blue marbles and 5 red marbles. If 2 marbles are selected at random without replacement, what is the probability that both will be blue?

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Question 515232: Trowbridge Manufacturing produces cases for personal computers and other electronic equipment. The quality control inspector for this company believes that a particular process is out of control. Normally, only 5% of all cases are deemed defective due to discolorations. If 6 such cases are sampled, what is the probability that there will be 0 defective cases if the process is operating correctly? What is the probability that there will be exactly 1 defective case?
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Question 515217: In a group of 1000 male graduate students, how many would you expect to find over 73 inches tall? The mean=70 inches, the standard deviation= 2 inches.

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Question 515227: A machine Shop has 100 drill presses and other machines in constant use. The probablility that a machine will become inoperative during a given day is .002. During some days no machines are inoperative, but during some days one, two three or more are broken down.
a. what type of distribution is this?
b. What is the probability that fewer than 2 machines will be inoperative during a particular day?

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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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