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

Algebra ->  Probability-and-statistics -> Questions on Algebra: Probability and statistics answered by real tutors!      Log On


   



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


Question 266987: Hello, I have a probability question and I don't know how to answer it if you could please show me I have several with your help I can solve them myself. Thank you so much.

The odds in favor of Sprinting Sally winning the horse race are 19:2. Determine the probability that Sprinting Sally wins the horse race
Thank you again

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

Question 266971: plz solve my qustion
Given a normal distribution with u=40 and variance=6 find the value of x that has (i) 38% of the area below it and (ii) 5% of the area above it.
chandumer932@hotmail.com
The definition of Z is number of S ( Standard Deviation) Z= (Xbar-Xi)/S. Z table tells relationship between percent under graph and how many S.
In this problem given percentage, S square ( Variance =6) and X bar ( u=40)
So find Z number first, then times square root 6 then minus u.
Answer is Z*6^0.5-40

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

Question 267044: 18) An analysis of variance (ANOVA) tests population variance.
A.

True
B.

False

Click here to see answer by drk(1908) About Me 

Question 267106: A newspaper advertises five different movies, four plays, and two baseball games for the weekend. If a couple selects three activities, find the probability that they attend two plays and one baseball game.
Click here to see answer by psbhowmick(878) About Me 

Question 267144: 18 pairs of socks in a drawer. 8 white pairs, 6 black pairs, 4 blue pairs.
probability of selecting a pair of black on first draw, then blue or white on second draw

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

Question 267178: a card is randomly selected from a standard deck. find the probability that the card is red or a queen
Click here to see answer by Edwin McCravy(20054) About Me 

Question 267191: A miniature golf course offers a free game to golfers who make a hole-in-one on the last hole. Last week, 44 out of 288 golfers made a hole-in-one on the last hole. Find the experimental probability that a golfer makes a hole-in-one on the last hole.
Please round your answer to two decimal places.

Click here to see answer by checkley77(12844) About Me 

Question 267157: Hello,
I worked the following problem can you please check it to make sure I work it right. Thank you
If North American casino roulette were fair, how much should it pay to a player who bets $10 on red and a red number comes up? The odds against winning a bet on a red in roulette are 1.01 to 1.


If "odds for an event (e)" are a:b
then P(e) = a/(a+b) P(not e) = b/(a+b)
P(winning change) 1.01/(1.01+1) = 2.1
P(winnings) 10*2.1 =21
Total winning =$21
Answer: $21.00

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

Question 267241: 99 percent of people are right handed, find the probability that six randonly selected people are left handed.
Click here to see answer by stanbon(75887) About Me 

Question 267238: 2. One out of 10 students [10%] don’t buy a book for their statistics class. In a class of 25 students [assume these students are a random selection from the population of all students who might take this course], calculate the following probabilities.
a. P(3 or fewer students don’t buy a book) =
b. P(exactly 3 students don’t buy a book) =
c. P(exactly 5 students did buy a book) =

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

Question 267277: A couple plan to have children, one a year, until they either have two boys or four children. Assume either gender is equally likely. Find the probability that they will have exactly three children, given that the second child is a girl.
Click here to see answer by solver91311(24713) About Me 

Question 267367: My teacher is teacher is teaching us probability can you help me on this question?
Diane is conducting an experiment where a quarter is flipped two times. What is the probability that the quarter landed on tails 2 times?

A.75%
B.25%
C.0%
D.50%

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

Question 267508: A bag contains 6 red marbles,9 blue marbles,and 5 green marbles.you withdraw one marble,replace it'and then withdraw another marble.what is the probability that you do not pick two green marbles?
Click here to see answer by drk(1908) About Me 

Question 267453: Three integers are randomly selected without replacement from the set { 1,2,3,5,6,7}. What is the probability that the mean of the values chosen is less than, but not equal to, 5?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 267476: a standard six faced die and a standard four-faced die are both rolled once the cube’s faces are numbered 1-6 and the tetrahedron ‘s faces are numbered 1-4 what is the probability that the sum of the downward – facing faces is grater than 6 ?
Express your answer as a common fraction

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

Question 267553: The number of cartoons that is watched by Mrs. Kelly’s first grade class on Saturday morning is shown below.
x P(x)
0 0.15
1 0.20
2 0.30
3 0.10
4 0.20
5 0.05

What is the mean of this distribution?

Click here to see answer by drk(1908) About Me 

Question 267411: As a condition of employment, Fashion Industries applicants must pass a drug test. Of the
last 220 applicants 14 failed the test. Develop a 99 percent confidence interval for the proportion
of applicants that fail the test. Would it be reasonable to conclude that more than
10 percent of the applicants are now failing the test? In addition to the testing of applicants,
Fashion Industries randomly tests its employees throughout the year. Last year in the 400
random tests conducted, 14 employees failed the test. Would it be reasonable to conclude
that less than 5 percent of the employees are not able to pass the random drug test?

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

Question 267588: A box contains 30 balls: 20 are red and 10 are blue. Five balls are selected at random, without replacement. What is the probability that four of them are red? What if the five balls are selected at random with replacement (i.e, a selected ball is put back in the box before the next selection is made)?
Click here to see answer by stanbon(75887) About Me 

Question 267651: An advertisement claims, “Four out of five doctors surveyed recommend “Try It” for their patients with arthritis”. Discuss why you would or would not accept this as a valid claim to product superiority.

Click here to see answer by Alan3354(69443) About Me 

Question 267605: A bag contains 6 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?
Click here to see answer by checkley77(12844) About Me 

Question 267680: Please help with this probability question. Thank You!
A recent survey found that 40% of air traffic controllers found their job extremely stressful. Suppose 12 air traffic controllers are selected at random, what is the probability that 2 or more consider their job stressful?
Thank you very much!

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

Question 267725: A college has an enrollment of 5678 and 24 % of these will graduate and 1250 more students will enroll each year. How many students will there be in 6 years? How many in 15 years.
Thank you

Click here to see answer by stanbon(75887) About Me 
Question 267725: A college has an enrollment of 5678 and 24 % of these will graduate and 1250 more students will enroll each year. How many students will there be in 6 years? How many in 15 years.
Thank you

Click here to see answer by josmiceli(19441) About Me 

Question 267667: In 3 spins of an 8 spot spinner, what is the probability of getting exactly one number that is 5 or less than 7.
Click here to see answer by stanbon(75887) About Me 

Question 267748: The odds against Lounging Larry winning the horse race are 12:5. Determine the probability that Lounging Larry wins the horse race.
Click here to see answer by solver91311(24713) About Me 

Question 267747: The odds in favor of Galloping George winning the horse race are 23:4. Determine the probability that Galloping George wins the horse race.
Click here to see answer by stanbon(75887) About Me 

Question 267798: suppose a factory contains two machines. there is a 19 % probability that the first machine will break down and a 22 % chance the second machine breaks down. the two machines are independent.
A. what is probability both machines break down
B. what is the probability AT LEAST one machine breaks down
C. What is probability that only one breaks down.
A. Pr (A and B) = .0418
B. ?
C. ?

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

Question 267744: The theoretical probability of undesirable side effects resulting from taking Xyclon is 1 in 12. If 120 people take Xyclon to relieve pain from stomach ulcers, theoretically how many will encounter undesirable side effects?
Click here to see answer by stanbon(75887) About Me 

Question 267816: If you roll 16 dice, what is the probability of getting at least one six? Express your answer as a decimal, with 5 digits after the decimal point.

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

Question 267846: Suppose there is a 69 percent chance that there will be traffic congestion on Bridge A, a 57 percent chance there will be traffic congestion on bridge B, and a 45 percent chance there will be traffic on both bridges. what is the probability that there will be traffic congestion on AT LEAST one bridge?
Click here to see answer by stanbon(75887) About Me 

Question 267894: A box contains 8 blue marbles, 4 red marbles, 3 green marbles.
A. if three marbles are selected at random, what is probability that all three marbles will be blue marbles
B. if three marbles are selected at random, what is the probability that one of each color marble will be selected.
C. if 11 marbles are selected at random, what is the probability that no red marbles will be selected.
D. if six marbles are selected at random, what is the probability that two of each color marble will be selected?

Click here to see answer by palanisamy(496) About Me 

Question 267006: At a level of significance of 0.10, Can we conclude that the following 400 observations follow
a poisson distribution with ? = 3.
No. of arrivals per
hour
0 1 2 3 4 5 or
more
No. of hours 20 57 98 85 78 62
4.
A company recruits personnel for its sales department on the basis of special tests designed to
judge the potential of the candidates. The following table gives test scores and the mean daily
sales for 9 executives.
a.
Fit a regression line of Y on X.
b.
Prepare a table of predicted values and residuals.
Mean daily Score(Y) 34 39 30 33 36 38 45 41 48
Test Score (X) 59 69 50 56 64 66 77 73 83

Click here to see answer by singh_b45(1) About Me 

Question 267976: 9.71 An experimental medication is administered to 16 people who suffer from migraines. After an
hour, 10 say they feel better. Is the medication effective (i.e., is the percent who feel better greater
than 50 percent)? Use α = .10, explain fully, and show all steps.

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

Question 267974: If a die is rolled 360 times, find the standard deviation for the number of 3s that will be rolled.
Click here to see answer by stanbon(75887) About Me 

Question 267949: suppose you roll 3 dice. list the possible ways of rolling an 11 as the sum of the numbers. Do not count different orderings of the dice seperatly.(1,4,6 = 1,6,4)
How do you calculate the total number of differnt ways of rolling an 11?

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

Question 268052: A factory worker places 62 newly created circuits on a shelf to be checked for quality. Of these, 5 will not work correctly. Suppose that she is asked to randomly select two circuits, without replacement, from the shelf. What is the chance that both circuits she selects will be defective? Show step by step work! Approximate the solution to the nearest ten thousandth.

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

Question 267890: What is the z-score for a woman 6 feet tall? Round your answer to 3 decimal places.
Click here to see answer by stanbon(75887) About Me 

Question 268054: If North American casino roulette were fair, how much should it pay to a player who bets $100 on black and a black number comes up? The odds against winning a bet on a black in roulette are 1.01 to 1.

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

Question 268127: A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a red marble? If a red marble is drawn the first time and then a second marble is drawn without replacement, what is the probability of drawing a green marble?

cant understand probability

Click here to see answer by josmiceli(19441) About Me 

Question 268263: In a recent year, some professional baseball players complained that umpires were calling more strikes than the average rate of 61.0% called the previous year. At one point in the season, umpire Dan Morrison called strikes in 2231 of 3581 pitches.
This is a hypothesis question. I am really struggling on how to solve these types of questions, if someone can show me step by step how it works with the answer I can do the other 32 questions I have, I just can't seem to get it started.

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

Question 268268: Veronica has 4 types of can fruit in her pantry. She has oineapple, peaches, pears, and fruit cocktail. What are all the ways for placing the cans on her pantry shelf? Use multiplication to find the ways.
Click here to see answer by stanbon(75887) About Me 

Question 268155: Can people really identify their favorite brand of cola? Volunteers tasted Coca-Cola Classic,
Pepsi, Diet Coke, and Diet Pepsi, with the results shown below. Research question: At α = .05, is
the correctness of the prediction different for the two types of cola drinkers? Could you identify
your favorite brand in this kind of test? Since it is a 2 × 2 table, try also a two-tailed two-sample
z test for π1 = π2 (see Chapter 10) and verify that z2 is the same as your chi-square statistic.Which
test do you prefer? Why? (Data are from Consumer Reports 56, no. 8 [August 1991], p. 519.)
Correct? Regular Cola Diet Cola Row Total
Yes, got it right 7 7 14
No, got it wrong 12 20 32
Col Total 19 27 46

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

Question 268323: the student council consists of 5 seniors, 4 juniors, 2 sophomores, and 1 freshman. How many ways can you pick 4 council members for a committee if 2 seniors must be chosen?
Click here to see answer by stanbon(75887) About Me 

Question 268440: Q. Fifteen locations in a given area are believed likely to have oil. An oil company can only afford to drill at eight sites, sequentially chosen. how many possibilities are there, in order of selection?
Click here to see answer by stanbon(75887) About Me 

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