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

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

Question 851024: a 6 sided dice is rolled 50 times. how many times should you roll a 5 or a 6?
Click here to see answer by jim_thompson5910(35256)

Question 851027: The classification of faculty at a college is indicated in the following table:
Male Female Total
Professor 12 3 15
Associate professor 15 9 24
Assistant professor 18 8 26
Instructor 20 15 35
Total 65 35 100
a) If a committee of three faculty members is selected at random what is the probability that:
i) All females.
ii) A professor and two associate professor .
b) If a faculty member is selected at random from this college, find the probability that:
i) The faculty is male, given that the faculty is instructor.
ii) The faculty is not professor given that the faculty is female.

Click here to see answer by stanbon(75887)

Question 851026: An urn contains 10 marbles, each of which shows a number. Five marbles show 1,two marbles show 2 and three show 3.
A marble is drawn at random. If x is the number that shows find the followings:

The probability distribution and the cumulative distribution of the random variable x.
p(1≤x≤3),p(x<3) .
Find the mean of the random variable X.
Calculate the variance and standard deviation of the random variable X.

Click here to see answer by stanbon(75887)

Question 851042: Which of the following is true and applicable of the Central Limit Theorem?
Check all that apply
Question 2 options:

The sample drawn from the population doesn't have to be randomized as long as the population is normal.

The sample can be from any population, even a non-normal population as long as the sample is randomized and larger than 25 or 30.

The mean of the sample distribution is equal to the mean of the population distribution.

The standard deviation of the sampling distribution is equal to the population distribution divided by the square root of the number in the sample.

As the number in the sample becomes larger and larger, then the mean of the sampling distribution is equal to the population distribution for any normal population.
Click here to see answer by stanbon(75887)

Question 850985: A SAMPLE OF 35 PEOPLE RECENTLY HIRED AN ATTORNEY
21 YES
6 NO
8 NOT SURE
THREE PEOPLE PROVIDED INFORMATION. DETERMINE THE PROBABILITY THAT THE FIRST TWO WOULD NOT RECOMMEND THEIR ATTORNEY AND THE THIRD IS NOT SURE IF HE OR SHE WOULD
WHAT IS THE PROBABILITY THAT THE FIRST TWO WOULD NOT RECOMMEND THEIR ATTORNEY AND THE THIRD IS NOT SURE IF THEY WOULD RECOMMEND?
Click here to see answer by stanbon(75887)

Question 851059: A simple random sample of size n = 200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 115 responded that they did. determine if more than half of all drivers drive a car made in this country at the a = 0.05 level of significance.

Click here to see answer by stanbon(75887)

Question 851057: In a study of 50 new cars, 17 of them were white. Find p ̂ and q ̂ where p-hat is the proportion of new cars that is white.
Click here to see answer by stanbon(75887)

Question 851056: The scores on the Wechsler Adult Intelligence Scale are approximately Normal with mean = 100 and standard deviation = 15
The proportion of adults with scores above 130 is closest to

0.001

0.025

0.050

0.950

Click here to see answer by jim_thompson5910(35256)

Question 851132: After firefighters and police officers are given a 7% wage increase, the probability of firefighters going on strike is 1/3, and the probability of police will go on strike is 1/7. What is the probability that neither will go on strike? What is the probability that the police will go on strike and the firefighters will not (and vice versa)?
Click here to see answer by ewatrrr(24785)

Question 851219: (There is 3 Blue, 8 Red, 12 Green, 12 Yellow, 4 Brown, and 2 Orange.)
When you open a bag of M&Ms what is the probability of getting a yellow or a green M&M?
Click here to see answer by ewatrrr(24785)

Question 851231: Assume that blood pressure readings are normally distributed with a mean of 120 and a standard deviation of 8. If 100 people are randomly selected, find the probability that their mean blood pressure will be greater than 122.
Click here to see answer by ewatrrr(24785)

Question 851252: The manufacturer of a computer component expects that 5% of the components will malfunction before six months. In a random sample of 8 components, what is the probability that at most 1 will function before six months? Binomial
Click here to see answer by ewatrrr(24785)

Question 851265: A certain apathetic network shows episodes of "Charmed" randomly, without any concern for the proper order, multi-part episodes, or for when the episode last aired. They simply randomly pick one of the episode every day to show. 66 episodes of "Charmed" feature Prue, and 112 feature Paige.
Probability of Prue= 0.37
Probability of Paige= 0.63
1. What is the probability that in 200 consecutive airings, we will have less than 64 Prue episodes? (To four decimal points)
2. What is the probability that in 200 consecutive airings, we will have at least 64 Prue episodes?
3. Find the probability that in 200 consecutive airings, we will have between 64 and 86 Prue episodes.
4. Find the probability that in 200 consecutive airings, we will have less than 30% Prue episodes.
5. What is the probability that in 200 consecutive airings, we will have more than 38% Prue episodes?
6. What is the probability that in 200 consecutive airings, we will have between 30% and 38% Prue episodes?
Click here to see answer by ewatrrr(24785)

Question 851274: How to find the median?
I just want help with finding the median and nothing else.
I just need help in finding the median on question 16 from this link :
https://s.yimg.com/hd/answers/i/02019467f4ad45578447c0bca8e67b4c_A.jpeg?a=answers&mr=0&x=1394568347&s=bd39165843e095ebcebc0e815e46a475
Thanks please help.
Click here to see answer by rothauserc(4718)

Question 851278: Two urns are labeled H and T . The urn labeled H has two red and three blue marbles. The urn labeled T has one red, two white, and one blue marble. A fair coin is flipped. If the coin results in a head, two marbles are selected without replacement from the urn labeled H . Otherwise two marbles are selected without replacement from the urn labeled T .
What is the probability of two red marbles being selected
What is the probability of at least one red marble being selected

Click here to see answer by ewatrrr(24785)

Question 851336: A sample of 50 people who recently hired an attorney yielded the following information about their attorneys
Number of people. Would recommend attorney
27 Yes
10 No
13 Not sure
Three people who provided information for the table were selected at random. Two would not recommend their attorney, and the third is not sure if he would recommend their attorney.
What is the probability that the first two would not recommend their attorney and the third is not sure they would recommend their attorney.

Click here to see answer by ewatrrr(24785)

Question 851331: How do I find out how many 2" x 4" cards I can make with 22" x 28" posterboard?
Click here to see answer by richwmiller(17219)

Question 851331: How do I find out how many 2" x 4" cards I can make with 22" x 28" posterboard?
Click here to see answer by ewatrrr(24785)

Question 851340: Kevin had 8 nickels and 2 dimes in his pocket.
If he took out 1 coin and then a second coin
without replacing the ﬁrst coin, what is the
probability that both coins were nickels?
Click here to see answer by ewatrrr(24785)

Question 851342: You throw a beanbag at a wall with 5 colored
squares, each with an area of 1/16 ft^2. If you
hit a square, you win a prize. The area of the
wall is 42 ft^2.
What is the probability that you will win a
prize?
Answer in units of %

Click here to see answer by ewatrrr(24785)

Question 851345: The table shows areas of seven continents on earth, which has the area of approximately 1.97x10^8 (the x means multiplication) square miles.
Continent Area (square miles)
Asia 1.6638 � 107
Africa 1.1647 � 107
North America 9.684 � 106
South America 7.215 � 106
Antarctica 5.117 � 106
Europe 3.968 � 106
Australia 2.89 � 106
If a meteor falls on earth, what is the probability it will fall on Africa? Answer in units of %
Click here to see answer by ewatrrr(24785)

Question 851410: Three cards are dealt from a well shuffled deck. What is the probability that the first card is a heart, the second card is a club and the third card is a diamond?
Click here to see answer by ewatrrr(24785)

Question 851393: ACT scores for each section are standardized so scores follow an approximately normal distribution with mean 21 points and standard deviation 4.7.
A. Based on out standard normal distribution, what is the value of z such that the proportion of observations below it is 0.6700?
B. Find the ACT score for which the proportion of observations below it is 0.6700.
Click here to see answer by ewatrrr(24785)

Question 851418: An ice cream shop offers 14 different flavors. A customer can have 3 flavors in a medium size cup. How many different combinations of 3 different flavors (no two the same) are possible?
Click here to see answer by ewatrrr(24785)

Question 851484: A box contains 20 numbered I- 20
you draw a card without replacing the first
card you draw a second card find the
Probability
Click here to see answer by stanbon(75887)

Question 851487: The percentage of Americans who are vegetarians is 3.2%. Four people are randomly selected and are asked if they are vegetarians. Find the probability that exactly one person said he or she is a vegetarian.

Click here to see answer by stanbon(75887)

Question 851488: suppose that 8 cards are drawn from a deck of 52. what is the probability that all 8 are red?
Click here to see answer by stanbon(75887)

Question 851451:
The probability of a snowstorm on Thanksgiving is 0.14 and the probability of a snowstorm on Christmas is 0.53 . Assuming that these two events are independent:
What is the probability of snowstorms on both Thanksgiving and Christmas?
What is the probability of a snowstorm on either Thanksgiving or Christmas (or both)?
What is the probability of a snowstorm on Thanksgiving but not on Christmas?
Click here to see answer by stanbon(75887)

Question 851516: A bag has 6 white, 6 red, and 9 blue marbles. Hank picks 1 marble at a time without replacing it. What is the probability that he will pick a white marble and then a red marble?

Click here to see answer by richwmiller(17219)

Question 850778: calculate the median profit in less than type

Click here to see answer by tommyt3rd(5050)

Question 851593: the probability of guessing the correct answer to certain question is x/2 . if probability of getting correct ans is 1/3 , then find 'x'
Click here to see answer by Fombitz(32388)

Question 851651: You are going to roll a die. If the result is 5 or 6, roll the die again. Otherwise, flip the coin. List all possible outcomes for this experiment.
Click here to see answer by richard1234(7193)

Question 851652: A fair die is rolled twice. Fine the probability of rolling:
rolling a sum between 3 and 7.
Click here to see answer by ewatrrr(24785)

Question 851653: Halfway through the season, Marie's free throw percentage is 76%. What is the probability that her next free throw will be successful? What are the odds of success?
Click here to see answer by ewatrrr(24785)

Question 851626: a company purchasing department is busy looking at the quality of computers bought by the company. they found that 15% of all new computers screens have to be replaced within 6 months 27% of all new computers must have their screens or mouse replaced within 6 months. given that a computer's mouse was replaced, 10% must also have their screens replaced within 6 months.
a) what is the probability that a computer's mouse must be replaced within 6 months?
b) what is the probability that given a computer's screen was replaced, the same computer's mouse will also be replaced within 6 months?
Click here to see answer by stanbon(75887)

Question 851666: The distribution of weights in a large group is approximately normally distributed. The mean is 80 kg and approximately 69% of the weights are between 70 and 90 kg. The standard deviation of the distribution of weights is equal to:
Click here to see answer by stanbon(75887)

Question 851656: Beechwood forests in East Central Europe are
being threatened by dynamic changes in land ownership and economic upheaval. The
current status of the beech tree species in this area was evaluated by Hungarian uni-
versity professors in Applied Ecology and Environmental Research (Vol. 1, 2003). The
researchers found that 25% of the beech trees in East Central Europe have been damaged
by fungi. Consider a sample of 20 beech trees from this area.
1. For any randomly selected beech tree in this area, what is the chance it has been
damaged by fungi?
2. Let X denote the number of beech trees, out of the sample, that are damaged by
fungi. What is the distribution of X? (Specify name and parameter values of
the X distribution).
3. What is the variance of X i.e. V(X)?
4. Use the PMF of X to calculate probability that in the sample there are trees
damaged by fungi i.e. P(X 6= 0)
5. Given that there are trees damaged by fungi, what is the probability only one tree
is damaged?
Click here to see answer by stanbon(75887)

Question 851692: I know this problems represnets a geometric distribution, how would I rewrite the problem to make if a binomial distribution.
If rain falls randomly with a 20% chance of rain on any given day, what is the probability that we suffer a drought for 8 days and then it finally rains on the 9th day?
Click here to see answer by stanbon(75887)

Question 851681: the average local cell phone call length was reported to be 2.27 minutes. A random sample of 20 phone calls showed an average of 2.98 minutes with a standard deviation of 0.98 minute. At 0.05 level of significance can it be concluded that the average differs from the population average?
Click here to see answer by stanbon(75887)

Question 851710: the length of all human pregnancies is approximately normal with a mean of 266 days and a standard deviation of 16 days , a) if 20 pregnancies are selected at random, what is the probability that the sample average is less than 260 days? b)if 20 pregnancies are selected at random, what is the probability that the sample mean is within 5 days of the population mean?
Click here to see answer by ewatrrr(24785)

Question 851716: Based on information from the US census Bureau, the mean travel time to work in minutes for all workers 16 years old and older was 25.3 minutes. A large company with officers in several states randomly samples 100 of its workers to ascertain their commuting times. the sample mean was 23.9 minutes, and the population standard deviation 6.39 minutes. at the 0.01 level of significance can it be conclude that the mean commuting time is less for this particular company?
Click here to see answer by ewatrrr(24785)

Question 851733: you throw a dice twice. what is the probability of getting 6 twice

Click here to see answer by ewatrrr(24785)

Question 851736: 1. You roll a number cube twice. Find each probability.
b. P(1, then 2)
c. P(3, then Even)
d. P(Less than 4, then 1)
e. P(Odd, then Even)
f. P(Divisible by 2, then 5)
g. P(Greater than 2, then Odd)

Click here to see answer by ewatrrr(24785)

Question 851740: You have two spinners with colors on them. The probability of spinning green on both spinners is 5/21. The probability of spinning green on the first one alone is 1/3. What is the probability of spinning green on the second spinner alone?
Click here to see answer by ewatrrr(24785)

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