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

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

Question 443716: compute r, the correlation coefficient, using the following data
x 2 1 6 8 4 5
y 8 10 3 1 6 4
r=
Click here to see answer by ewatrrr(24785)

Question 443694: A set of data items is normally distributed with a mean of 80 and a standard deviation of 7. Convert 88 to a z-score.
Click here to see answer by ewatrrr(24785)

Question 443692: The scores on a test are normally distributed with a mean of 50 and a standard deviation of 30. Find the score that is 2.5 standard deviations above the mean.
Click here to see answer by ewatrrr(24785)

Question 443690: A set of data items is normally distributed with a mean of 80 and a standard deviation of 4. Convert 89 to a z-score.
Click here to see answer by ewatrrr(24785)

Question 443687: The scores on a test are normally distributed with the mean of 150 and a standard deviation of 30. What is the score that is 1/2 standard mediation above the mean?
Click here to see answer by ewatrrr(24785)

Question 443601: A quiz consists of 20 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 70 %.
Click here to see answer by ewatrrr(24785)

Question 443796: I am having trouble figuring this problem out. Please help me!
Given the frequency distribution table
frequency:
4, 4, 2, 6
outcome:
-8, 0, 4, 8
1. Compute the population mean (one digit after decimal point).
2. Compute the population variance (two digits after decimal point).
Click here to see answer by Edwin McCravy(20054)

Question 443534: A manufacturing machine has a 1% defect rate.
If 4 items are chosen at random, what is the probability that at least one will have a defect?

Click here to see answer by ewatrrr(24785)

Question 443525: All of the letters of the word MISSISSIPPI are placed in a bag. What is the probability of pulling an S and then pulling an M? (Without replacing the first letter that was pulled)
Click here to see answer by ewatrrr(24785)

Question 443701: The data below show the number of years of education for seven parent-child pairs.
respondent A B C D E F G
years of education of parent (x) 14 10 7 13 13 9 12
years of education of child (y) 13 14 7 15 20 6 18

a) Determine the correlation coefficient
r=
b) Find the equation of the regression line, y=mx+b First find the slope,m
m=
Now calculate the y-intercept, b, of the regression line.
b=
c) Approximate the number of years of education for a child with a parent who has 16 years of education.
y approximately=
Click here to see answer by ewatrrr(24785)

Question 443829: Find the standard deviation for these data values. [ round to the nearest thousandth ]

11

16

18

11

10

14

12

11
Click here to see answer by ewatrrr(24785)

Question 443890: You and five friends go out to dinner. There are three different entree choices. You each pick a entree at random. What is the probability that you all pick the same entree?
excuse me is it 6/720 or 6/729 ?
please help and thank you
Click here to see answer by scott8148(6628)

Question 444061: When taking a 19 question multiple choice test, where each question has 3 possible answers, it would be unusual to get (what x number?) or more questions correct by guessing alone.
Give your answer for (waht x number?) as a whole number.

Click here to see answer by richard1234(7193)

Question 444069: Thirty percent of the population in a southwestern community are Spanish-speaking Americans. A Spanish-speaking person is accused of killing a non-Spanish-speaking American and goes to trial. Of the first 12 potential jurors, only 2 are Spanish-speaking Americans, and 10 are not. The defendant's lawyer challenges the jury selection, claiming bias against her client. The government lawyer disagrees, saying that the probability of this particular jury composition is common. Compute the probability and discuss the assumptions.
Click here to see answer by stanbon(75887)

Question 444088: In a study of 100 new cars, 27 were white. Find the p and q where p is the proportion of new cars that is white. (Please help!!)
Click here to see answer by edjones(8007)

Question 444065: A baseball player has a batting average of 0.16. What is the probability that he has exactly 6 hits in his next 7 at bats?
What is the probability ?
Click here to see answer by stanbon(75887)

Question 444075: What are the numbers used in making a box-and-whisker plot?
(a) Low value, Q1, mean, Q3, high value
(b) Low value, Q1, median, Q3, high value
(c) s, mean, s2, interquartile range
(d) Q1, Q2, Q3
(e) Low value, interquartile range, high value

Click here to see answer by stanbon(75887)

Question 444095: John and Jane are married. The probability that John watches a certain television show is .4. The probability that Jane watches the show is .5. The probability that John watches the show, given that Jane does, is .7. a. Find the probability that both John and Jane watch the show. b. Find the probability that Jane watches he show, given that John does. c. Do John and Jane watch the show independently of each other? Justify your answer
Click here to see answer by edjones(8007)

Question 444081: E and F are events of a sample space S. P(E) = 0.7, P(F) = 0.5, P(E F) = 0.8. Find P(E F).
P(E F) =
Click here to see answer by edjones(8007)

Question 444077: what is the probability of choosing a number less than 8 out of a deck of 52 cards?
Click here to see answer by edjones(8007)

Question 444066: At a certain college, 53% of the students are female, and 17% of the students major in finance. Furthermore, 8% of the students both are female and major in finance.
(a) What is the probability that a randomly selected female student majors in finance? Round your answer to decimal places.
(b) What is the probability that a randomly selected finance major is female? Round your answer to decimal places.

Click here to see answer by edjones(8007)

Question 444133: Are the following statements a valid pair of null and alternative hypothesis?
Ho: U> 5 and Ha: u<17?
Is the following a valid null statement?
Ho : 13=11?
3.) Assume that a 95% confidence interval for the mean is (13.0, 15.0). What is the result of a hypothesis test of Ho u =1.0 at a (alpha) = 0.05?
Click here to see answer by stanbon(75887)

Question 444189: Please help me solve these problems:
Given the probability distribution of a random variable
outcome: -2, 4, 10
probability: 0.80, 0.15, 0.05
3. Compute the expected value (one digit after decimal point).
4. Compute the variance (two digits after decimal point).
Click here to see answer by htmentor(1343)

Question 444192: A card is randomly selected from an ordinary deck f playing cards.
a)what are the odds in favor of drawing a diamond ?
a) what are the odds against drawing a diamond ?
C) what are the odds in favor of getting a king ?
d) what are the odds against getting a king ?
Click here to see answer by htmentor(1343)

Question 444217: Can you please show me how to figure this?
Based on a survey at school, it was found that 75% of the boys and 65% of the girls like to watch hockey games. There are an equal number of boys and girls at the school. If someone does NOT like to watch hockey games, what is the approximate probability that the person is a boy?
Thank you!
Click here to see answer by stanbon(75887)

Question 444206: Hi
Any help you can give me on these problems will be greatly appreciated.
1)
The new Twinkle bulb has a standard deviation 35 hours. A random sample of 50 light bulbs is selected from inventory. The sample mean was found to be 500 hours.
(a. Find the margin of error E for a 95% confidence interval. Round your answer to the nearest hundredths.
(b. Construct a 95% confidence interval for the mean life, mu of all Twinkle bulbs.
2) A standard placement test has a mean of 115 and a standard deviation of  = 10. Determine the minimum sample size if we want to be 95% certain that we are within 3 points of the true mean.
3)An experimental egg farm is raising chickens to produce low cholesterol eggs. A lab tested 16 randomly selected eggs and found that the mean cholesterol was 190 mg with a standard deviation of 18.0 mg. Assume that the population is normally distributed.
a. What is the margin of error for a 95% confidence interval? Round your answer to the nearest tenths.
b. What is the 95% confidence interval for the population mean cholesterol content for all experimental eggs? Assume that the population is normally distributed.
4. The new Twinkle bulb is being developed to last more than 1000 hours. A random sample of 100 of these new bulbs is selected from the production line. It was found that 64 lasted more than 1000 hours.
a. What is the margin of error (E)? Round to the nearest three decimals.
b. What is the 95% confidence interval for the population proportion (p) of all Twinkle bulbs?

Click here to see answer by stanbon(75887)

Question 444205: Find the P-value for the indicated hypothesis test.
A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective. Find the P-value for a test of the manufacturer's claim.
Click here to see answer by stanbon(75887)

Question 444188: At a homeowners' association meeting, a board member can vote yes, vote no, or abstain on a motion. There are three motions on which a board member must vote.
a) determine the number of points in the sample space
b) construct a tree diagram and determine the sample space. Determine the probability that the board member votes
c) no, yes, no in that order
d) yes on exactly two of the motions
e) yes on at least one motion
Click here to see answer by stanbon(75887)

Question 444169: There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services). A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.
From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?
If a 50-year-old female purchases the policy, what is her expected value?
WORK TRIED:
In the event she lives, the value is -$226. In the event she dies, the value is $49,774.

Click here to see answer by stanbon(75887)

Question 444138: If the observed value is 8, the expected value is is 5, an the standard error is 2, then the test value used for the z test is equal to what?
If the observed value is 7, the expected value is 8, and the standard error is 2, then the test value used for the z test is equal to what?
For the conjecture "The average rent of an apartment is more than $750 per month", what is the alternative hypothesis?
Is the following a valid null hypothesis? Ho : = 6
Click here to see answer by stanbon(75887)

Question 444255: There are 10 students running a race. The fastest get a gold, silver, or bronze medal. How many different ways can the students win theses medals?
Click here to see answer by benni1013(206)

Question 444257: if one card is drawn from a standard 52 card playing deck what is the probability of getting a ten, a king, or a diamond
Click here to see answer by edjones(8007)

Question 444171: Tiles number from 1 to 6 are placed in a bag are drawn out to determine which of six tasks will be assigned to six people.What is probability that the tiles numbered 5 and 6 are drawn consecutively?
F) 2/3
G) 2/5
H) 1/2
J) 1/3
Click here to see answer by edjones(8007)

Question 444277: select one card in the deck of cards if one card is drawn, determine the probability that the card shows a yellow bird or a number greater than 4?
The deck of cards consist of 20 cards
2 yellow birds numbered 1 & 4
3 red birds numbered 2, 3, 5
5 lions numbered 1-5
5 turtles numbered 1-5
5 monkeys numbered 1-5

Click here to see answer by edjones(8007)

Question 444331: If you have 18 questions what % is each question worth?
Click here to see answer by nerdybill(7384)

Question 444394: 1. Suppose that two cards are drawn without replacement from a standard deck of cards. Find the probability that both cards are spades?
2. Suppose a bag contains seven times as many black marbles as white marbles and a sind marble is drawn from the bag at random. What is the probability that the marble is black?
3. Suppose that ive dice are tossed. What is the probability that at least one of the dice shows a two.

Click here to see answer by sudhanshu_kmr(1152)

Question 444475: If you roll a standard number cube twice. Find each probability. P(1, then 2), P(3, then even), P(less than 4, then 1), P(odd, then even), P(divisible by 2, then 5), and P(greater than 2, then odd)
Click here to see answer by stanbon(75887)

Question 444432: random sample of 42 graduates revealed worked 5.5 yrs the sample standard deviation was 1.1 yrs Using 99% degree of confidence what is the confidence interval for the population mean
Click here to see answer by stanbon(75887)

Question 444408: The library is given 3 books as a gift. The books will be selected from a list of 16 titles. if each book selected must have a differtn title how many selections are there?
Click here to see answer by stanbon(75887)

Question 444353: A marketing research company is estimating which of two soft drinks college students prefer. A random sample of n college students produced the following 90% confidence interval for the proportion of college students who prefer drink A: (.255, .575). Identify the point estimate for estimating the true proportion of college students who prefer that drink.
Click here to see answer by stanbon(75887)

Question 444580: A card is randomly drawn from an ordinary deck of playing cards. What is the probability that the card is a king or a diamond

Click here to see answer by solver91311(24713)

Question 444691: A personal computer manufacturer buys 43 % of its chips from Japan and the rest from America. 2 % of the Japanese chips are defective and 1.1 % of the American chips are defective.

1. Find the probability that a chip is defect-free.
2. Find the probability that a chip is defective and made in Japa
Click here to see answer by robertb(5830)

Question 444725: mike has homework in all seven subjects tonight in how many ways can he do his homework?
Click here to see answer by robertb(5830)

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