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Question 1098608: Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.0559
Click here to see answer by Theo(13342)

Question 1098782: A lottery has 52 numbers of which 6 are selected. If the order of the selection does not matter, in how many ways can this be done?
A.
20,358,520
B.
52,000
C.
312
D.
19,770,609,660

Click here to see answer by Fombitz(32388)

Question 1098563: 1. Assume the probability distribution for the number of daily baggage mishandling cases is given
in the following table:
X 1 2 3 4 5
P(X)0.20 0.30 0.25 0.15 0.10
a) What is the probability that the number of baggage mishandling cases will be above 7?
b) What is the expected number of cases for today?
c) What is the variance of number of cases?
Click here to see answer by Fombitz(32388)

Question 1098894: In Pennsylvania, 78% of all teenagers own an i-pod and 45% of all teenagers own an i-pod and a cell phone. What is the probability that a teenager owns a cell phone, given that the teenager owns an i-pod.
Click here to see answer by ikleyn(52777)

Question 1098897: It is so long since I had my bike stolen that I am considering selling my bike lock for
�50 and just leaving the bike unlocked. Police statistics suggest that, if a bike is left
unlocked:
� There is a 50% chance that it will not be stolen
� There is a 40% chance that the wheel (worth �75) will be stolen
� There is a 10% chance that the entire bike (worth �250) will be stolen
I try to think about the decision in terms of probabilities:
(a) Define a random variable X to represent this situation (i.e. define a mapping
from events to values of X, with probabilities).
(b) Calculate the expected value of X.
(c) Thinking in purely economic terms, does it make sense to sell the bike lock?
Click here to see answer by Boreal(15235)

Question 1098337: A bag contains five white and 3 black balls, 2balls are drawn at random one after the other without replacement. find the probability that those balls drawn are black?
Click here to see answer by math_helper(2461)

Question 1098933: If two fair dice are rolled, find the probability that the sum of the dice is 7, given that the sum is greater than 3.
Click here to see answer by Edwin McCravy(20054)

Question 1098654: the probability that a student owns a cat is .44. The probability that a student owns a dog is .53. If the probability that a student does not own either a cat or a dog is .15, find the probability that a student chosen at random owns a cat and a dog
Click here to see answer by jorel1380(3719)

Question 1098975: two 6-sided fair dice are thrown n times. let x denote the number of throws in which the result on the first die exceeds the results on the second die. what is the distribution of x?
Click here to see answer by Fombitz(32388)

Question 1098972: A multiple-choice test consists of 7 questions. Each question has answer choices of a ,b ,c , and d , and only one of the choices is correct. If a student randomly guesses on each question, what is the probability that she gets at most 1 of them correct?
Click here to see answer by Edwin McCravy(20054)

Question 1099015: A system is comprised of 5 components, each of which is either working or failed. Consider an experiment that consists of observing the status of each component, and let the outcome of the experiment be given by the vector (x1, x2, x3, x4, x5), where xi is equal to 1 if component i is working and is equal to 0 if component i is failed.
(a) How many outcomes are in the sample space of this experiment?
(b) Suppose that the system will work if components 1 and 2 are both working, or if components 3 and 4 are both working, or if components 1, 3, and 5 are all working. Let W be the event that the system will work. Specify all the outcomes in W.
(c) Let A be the event that components 4 and 5 are both failed. How many outcomes are contained in the event A?
(d) Write out all the outcomes in the event AW.

Click here to see answer by Fombitz(32388)

Question 1099006: Let
x
denote
Click here to see answer by richwmiller(17219)

Question 1099005: Let
x
denote
Click here to see answer by richwmiller(17219)

Question 1099042: The attendance at baseball games at a certain stadium is normally distributed, with a mean of 25,000 and a standard deviation of 1200. For any given game:

A) What is the probability that attendance is greater than 22,500?
B) What is the probability that attendance will be 25,000 or more?
C) What is the probability of attendance between 23,500 and 27,000?
D) What must the attendance be at the game, for that game's attendance to be in the top 10% of all games?
E) What is the probability that attendance is less than 26,000?

Click here to see answer by Boreal(15235)

Question 1099078: The chances of an error occurring in any single line of code is found to be 0.001 (0.1%).
If a program contains 400 lines of code, what is the probability that there are no errors?
Click here to see answer by Theo(13342)

Question 1099095: Let the random variable x
Click here to see answer by richwmiller(17219)

Question 1099094: Let the random variable x

Click here to see answer by richwmiller(17219)

Question 1099083: A process window is set so that 99.74% of product passes the process spec.
In order to pass, the product must be close to average.
How many standard deviations away does 99.74% represent
Click here to see answer by Theo(13342)

Question 1099079: The probability of a given score range is 0.4893.
The bottom of the score range is the average (z=0).
What is the z-score for the upper end of the distribution
Click here to see answer by Theo(13342)

Question 1099082: A coin is flipped 50 times.
The number of heads is counted.
What is the expected value for number of heads?
Click here to see answer by Fombitz(32388)

Question 1099096: In the most recent election 20 percent of all eligible college student voted if a random sample of10 student were surveyed
1-find the probability that exactly half of them voted in the election
Click here to see answer by rothauserc(4718)

Question 1099121: A box contains 25 parts, of which 4 are defective and 21 are nondefective. If two parts are selected without replacement, find the following probabilities:
1. P(both are defective)
2. P(exactly one is defective)
3. P(neither is defective)
Click here to see answer by Fombitz(32388)

Question 1099084: If 100 people were each to flip a coin the same number of times, what would be the approximate distribution of the resulting total
Click here to see answer by Fombitz(32388)

Question 1096642: Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was three minutes. Use that as a planning value for the standard deviation in answering the following questions.
1. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 78 seconds, what sample size should be used? Assume 95% confidence.
2. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used? Assume 95% confidence.
Click here to see answer by abebeau(1)

Question 1099140: A manufacturing company regularly conducts control checks at specified periods on the products it manufactures. historically the failure rate for led bulbs that the company manufactures is 15 %. suppose a random sample of 10 led bulbs is selected?
What is the probability that 3 or more or the led light bulbs are defective.
Click here to see answer by Fombitz(32388)

Question 1099134: find the z-score corresponding to the percentile 50

Click here to see answer by Fombitz(32388)

Question 1099122: Suppose your state runs a "game" where you pay one dollar for a ticket. You then scratch
a silver lm o the ticket to see whether you win a prize. Two ticket in a thousand pay
$100, 20 tickets in a thousand pay $10, 100 tickets in a thousand pay $2, and 150 tickets
in a thousand pay $1. The remaining tickets win nothing and leave you behind by the
dollar you paid for them. Let the random variable X be your net gain per ticket in this
game.
Guidance:
For example, if you win $10, your 'net gain' (after paying $1 for the ticket) is $9. If your
ticket pays nothing, your 'net gain' (after paying $1 for the ticket) is $-1.
(a) Construct a table showing the probability distribution of X.
Click here to see answer by Boreal(15235)

Question 1099062: P(x<86)
Click here to see answer by Edwin McCravy(20054)

Question 1099242: Which of the following statements about the event E is not true?

If an event E cannot occur, then its probability is 0.

The sum of the probabilities of all the outcomes in the sample space is 1.

The probability of any single event E in the sample space is always 1.

If an event E is certain, then its probability is 1.
Click here to see answer by Fombitz(32388)

Question 1099190: Construct a grouped frequency distribution and a histogram for the following data, showing the
length, in miles, of the 25 longest rivers in the United States. Use five classes that have the same width.
Start with the lower bound of the first class at 500.
2540 2340 1980 1900 1900
1460 1450 1420 1310 1290
1280 1240 1040 990 926
906 886 862 800 774
743 724 692 659 649
Click here to see answer by Fombitz(32388)

Question 1099246: A cash prize of $3,300 is to be awarded at a fundraiser. If 1,100 tickets are sold at $9 each, find the expected value.
Click here to see answer by Fombitz(32388)

Question 1099293: Assume that when adults with smartphones are randomly selected, 53% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.
Click here to see answer by Boreal(15235)

Question 1099300: how do you figure out the probability of a randomly selected person who has a birthday on November 8

Click here to see answer by jorel1380(3719)

Question 1099295: A charity holds a raffle in which each ticket is sold for $40. A total of 8200 tickets are sold. They raffle one grand prize which is a Mercedes Benz E350 valued at $60000 along with 6 second prizes of Ducati motorcycles valued at $11000 each. What are the expected winnings for a single ticket buyer? Express to at least three decimal place accuracy in dollar form (as opposed to cents).
Answer: $

Click here to see answer by jorel1380(3719)

Question 1099298: There are 100 seats for 100 people at the movie theater. The total price for the 100 people is $1.00. Men will be charged $.05 each, women $.02 and children 10 for $.01. How many men, women, and children will there be?
Click here to see answer by greenestamps(13198)

Question 1099241: The following table shows the number of students in three different sports and their age:
Click here to see answer by richwmiller(17219)

Question 1099259: The following table shows the number of students in three different sports and their age:
Click here to see answer by richwmiller(17219)

Question 1099260: The intersection of events A and B is the event containing

all the events belonging to A or B, but not both

all the events belonging to A and to B

all the events belonging to A or B or both

all the events belonging to B but not to A
Click here to see answer by Edwin McCravy(20054)

Question 1099327: Suppose five cards are dealt from a standard 52-card deck.
Click here to see answer by richwmiller(17219)

Question 1099326: Suppose five cards are dealt from a standard 52-card deck.
Click here to see answer by richwmiller(17219)

Question 1099336: The odds against an event are 49 to 2. What is the probability of the event?
Click here to see answer by AnlytcPhil(1806)

Question 1099336: The odds against an event are 49 to 2. What is the probability of the event?
Click here to see answer by Edwin McCravy(20054)

Question 1099341:
The capacity of an elevator is 12 people or 2088 pounds. The capacity will be exceeded if 12 people have weights with a mean greater than 2088/12=174 pounds. Suppose the people have weights that are normally distributed with a mean of 180 lb and a standard deviation of 26 lb.
a. Find the probability that if a person is randomly selected, his weight will be greater than 174 pounds.
b. Find the probability that 12 randomly selected people will have a mean that is greater than 174 pounds.
c. Does the elevator appear to have the correct weight limit? Why or why not
Click here to see answer by Boreal(15235)

Question 1099396: If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

much smaller than any other outcome

1/216

much larger than any other outcome

1/6
Click here to see answer by KMST(5328)

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, 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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, 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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, 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