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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 1174090: The average income of the residents of a particular community is your roll no *1000 and sd is your roll no *100:
(a) What is the probability that income of a person, selected at random, is more than average income?
(b) What is the probability that income of a person, selected at random, is between average income and average income +2000?
(c) What is the probability that income of a person, selected at random, is bbetween average income+1000 and average income +2000?
(d) What is the probability that income of a person, selected at random, is less than average income +1000?

Click here to see answer by ewatrrr(24785)

Question 1174093: Almost all primary school students who intend to go to high school take the IQ test. In 2020, the mean IQ test of all students was 1020. Sabri is planning to take the test soon. Suppose the IQ score of all students who take this test with Sabri will have a normal distribution with a mean of 1020 and standard deviation of 153. What should his score be on this test so that only 10% of all examinees score higher than he does?
Click here to see answer by ewatrrr(24785)

Question 1174094: In how many 7 children can be arranged in a line, such that two particular children of them are never together?
a. 360
b. 480
c. 720
d. 1440
Click here to see answer by math_tutor2020(3816)

Question 1173950: If the random variable X follows Poisson distribution with
p(x = 0) =p(x =1),
Then find E(x) and p(x>1)?
Click here to see answer by Boreal(15235)

Question 1174100: A bag contains 5 red marbles, 10 white marbles, and 8 blue marbles. You draw 5 marbles out at random, without replacement. What is the probability that all the marbles are red?
The probability that all the marbles are red is
.
What is the probability that exactly two of the marbles are red?
The probability that exactly two of the marbles are red is
.
What is the probability that none of the marbles are red?
The probability of picking no red marbles is
Click here to see answer by ewatrrr(24785)

Question 1174103: Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 2 sixth graders, 2 seventh graders, and 6 eighth-graders on the team. Mrs. Donovan will randomly select two team captains.
What is the probability that both captains will be eighth-graders?
Make sure to write your answer as a reduced fraction.
Click here to see answer by ikleyn(52751)

Question 1174104: In a large population, 62% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that at least one of them has been vaccinated?
Give your answer as a decimal to 4 places.
Click here to see answer by ikleyn(52751)

Question 1174102: In a large population, 64 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Give your answer as a decimal (to at least 3 places) or fraction.
Click here to see answer by ewatrrr(24785)

Question 1174106: Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 16 2 13 31
Female 12 11 14 37
Total 28 13 27 68

If one student is chosen at random,
Find the probability that the student was female:
Correct
Find the probability that the student was male AND got a "B":
Correct
Find the probability that the student was male OR got an "B":
Correct
If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are male
Click here to see answer by ewatrrr(24785)

Question 1174101: A bag contains 5 red marbles, 10 white marbles, and 8 blue marbles. You draw 5 marbles out at random, without replacement. What is the probability that all the marbles are red?
The probability that all the marbles are red is
.
What is the probability that exactly two of the marbles are red?
The probability that exactly two of the marbles are red is
.
What is the probability that none of the marbles are red?
The probability of picking no red marbles is
Click here to see answer by ewatrrr(24785)

Question 1174105: A jar contains 10 red marbles numbered 1 to 10 and 6 blue marbles numbered 1 to 6. A marble is drawn at random from the jar. Find the probability of the given event, please show your answers as reduced fractions.
(a) The marble is red. P(red)=

(b) The marble is odd-numbered. P(odd)=

(c) The marble is red or odd-numbered. P(red or odd) =

(d) The marble is blue or even-numbered. P(blue or even)
Click here to see answer by Boreal(15235)

Question 1174089: Question no 2 (A): Students are randomly selected from SMIU, probability that they are from BA is ½, probability that they are from CS is 1/3 and remaining is the probability that they are from Media Studies department. Group of 12 students is selected:
(a) What is the probability that at least 6 are from BA department
(b) What is the probability that none is from media department
(c) What is the probability that at most three are from CS Department
Question No 2 (B): Assume that the number of road accidents in any month are no ofcharacters in your first name. What is the probability fewer than three accidents will occur in a particular month?

Click here to see answer by ewatrrr(24785)

Question 1174111: Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 5 11 15 31
Female 6 17 16 39
Total 11 28 31 70

If one student is chosen at random,
Find the probability that the student was female AND got a "A".
Click here to see answer by ikleyn(52751)

Question 1174092: a survey is conducted from male and female customers on their preference for green products. 150 males out of 600 preferred green products and 200 females out of out of 550 preferred green products.
(a) At what confidence level Null hypothesis will be accepted and rejected?

Click here to see answer by ewatrrr(24785)

Question 1174112: The table summarizes results from 985 pedestrian deaths that were caused by automobile accidents.
Driver
Intoxicated? Pedestrian Intoxicated?
Yes No
Yes 50 78
No 235 622

If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated or the driver was not intoxicated.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
Click here to see answer by Boreal(15235)

Question 1174124: A fair coin is tossed 2 times, and the events A and B
Click here to see answer by ikleyn(52751)

Question 1174110: Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 13 18 12 43
Female 15 17 2 34
Total 28 35 14 77

If one student is chosen at random,
Find the probability that the student was female OR got an "B"
Click here to see answer by ikleyn(52751)

Question 1174126: A die and two coins are tossed. How many possible outcomes are there?

Click here to see answer by ikleyn(52751)

Question 1174142: A box contains 4 blue balls, 7 red balls, and 5 white balls. If one ball is selected at random, find P(blue/not white).
Click here to see answer by math_helper(2461)

Question 1174141: If the probability of event C is 0.67, then the probability of c^c is 1. TRUE OR FALSE
Click here to see answer by Solver92311(821)

Question 1174148: Suppose the probability of an IRS audit is 2.1 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.
What are the odds that such a taxpayer will be audited?
What are the odds against such a taxpayer being audited?
Click here to see answer by greenestamps(13195)

Question 1174163: In a large housing plan, 25% of the home have a deck and a two-car garage, and 60% of the houses have a two-car garage. Find the probability that a house has a deck that it has a garage?
Click here to see answer by ikleyn(52751)

Question 1174176: Let R={(1,1), (2,1), (3,4), (4,2), (1,5),}. (25x1=25)
Find the powers Rn
for n=2,3,4
Click here to see answer by ikleyn(52751)

Question 1174183: Maria rolled a fair die and a prime number is shown on the face of the die. What is the probability that the prime number is 5?
Click here to see answer by ikleyn(52751)

Question 1174216: In a deck of 52 playing cards (jokers not allowed), how many five-card poker hands consisting of three of a kind and a pair (a full house) are possible?
Click here to see answer by greenestamps(13195)

Question 1174222:
Click here to see answer by ikleyn(52751)

Question 1174191: A product estimate that 3% of his output of a small items is defective.find the probabilities that in a sample of 10 item
a).less than two
b). More than two items will be defective
Click here to see answer by Boreal(15235)

Question 1174274: A box contains 3 orange balls 3 yellow balls and 2 white balls. Three balls are selected without replacement. Find the probability of 2 yellow balls and a white ball.
Click here to see answer by math_helper(2461)

Question 1174178: 1. A manufacturer of light bulbs produces bulbs that last a mean of 1050 hours with a standard deviation of 100 hours. What is the probability that the mean lifetime of a random sample of 10 of these bulbs is greater than 975 hours?
2. The average public high school has 535 students with a standard deviation of 98.
a. If a public school is selected, what is the probability that the number of students enrolled is less than 550?
b. If a random sample of 25 public high schools is selected, what is the probability that the number of the students enrolled is greater than 600?

Click here to see answer by Boreal(15235)

Question 1174170: 3. The weight of pineapple slices, in grams, in a tin is normally distributed with mean µ
and standard deviation of 7.8 grams. Given that 10% of tins contain less than 200 grams.
a. What is the value of µ? (give your answer to the nearest whole number
b. What percentage of the tins contain more than 225 grams?
c. What percentage of tins weigh between 215 grams and 230 grams?
Click here to see answer by Boreal(15235)

Question 1174294: Let X be a random variable normally distributed with parameters μ= 70, σ= 10. Estimate P(65 (Give the probability in the form of a decimal number (example: 0.123)!

This is the question that I have and I have done it this way.
P8(65 Z(85) = (85-70)/10 = 1.5
P(X<85) = 0.066807
Z(65) = (65-70)/10 = -0.5
However, I am not quite sure how I get P, I used an online calculator, and in the results it should be 0.624
> pnorm(85,70,10)-pnorm(65,70,10)=0.6246553
Can someone explain this to me? Thank you.
Click here to see answer by Boreal(15235)

Question 1174299: a box contains 10 marbles 7 of which are black and 3 are red . if 3 marbles is drawn at random without replacement find the probability of choosing (a) ome red one black and one red in that order (b) at least two black marbles (c) at most two black marbles

Click here to see answer by ewatrrr(24785)

Question 1174332: A pair of fair dice is thrown. If the two numbers appearing are different, find the probability that
a) the sum is 6
b) the sum is 4 or less.

Click here to see answer by ikleyn(52751)

Question 1174284: A study was made by a retail merchant to determine the relation between weekly advertising expenditures and sales. The following data were recorded:
Advertising Costs, $ 40 20 25 20 30 50 40 20 50 40 25 50
Sales, $ 385 400 395 365 475 440 490 420 560 525 480 510
a) Draw a scatter diagram for the above data.
b) Calculate the coefficient of correlation, r
c) Find the linear regression equation (least-squares equation of the line) to predict
weekly sales from advertising expenditures. Add your line-of-best-fit to your scatter
diagram.
d) Predict the weekly sales when advertising costs are $32.
Click here to see answer by ewatrrr(24785)

Question 1174377: At the end of each week, a generous teacher gives some candy to a few randomly selected students. There are 30 students in this teacher's class - 16 girls and 14 boys.
A) If the teacher wanted to give candy to 6 of the students, how many possible groups of 6 students can she choose?
B) To avoid appearing to favor one gender, the teacher will randomly choose 3 of the 16 girls and 3 of the 14 boys. How many possible groups of 6 can she choose?
C) Find the probability that the teacher gives candy to 3 boys and 3 girls if she chooses 6 students from the class at random.
Click here to see answer by ikleyn(52751)

Question 1174404: Let X be the number of tails that turned up when two fair coins are tossed. What are the possible outcomes for X, the probability of each, and the distribution function value?

Click here to see answer by ikleyn(52751)

Question 1174445: Not sure how to go about this. Can someone help with this?
Researchers at Manchester Metropolitan University in England determined experimentally that if a piece of toast is dropped from a 2.5 foot high table, the probability that it lands butter side down is 0.81.

A) Explain what this probability means.
B) If you dropped 100 pieces of toast, will exactly 81 of them land butter side down? Explain
C) Maria decides to test this probability and drops 10 pieces of toast from a 2.5 foot table. Only 4 of them land butter side down. Should she be surprised? Describe how you would carry out a simulation to answer this question, assuming the probability that the toast lands butter side down is 0.81. Do not perform the simulation.
D) The dot plot displays the results of 50 simulated trials of dropping 10 pieces of toast. Does the simulation suggest that Maria should be surprised? Explain.
Click here to see answer by watchkimberly(1)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345