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 1141170: In a hospital, a sample of 8 weeks was selected, and it was found that an average of 438 patients were treated in the emergency room each week. The standard deviation was 16 patients. Find the 99% confidence interval for the true mean number of patients seen in the emergency room per week.
type of interval
estimate
z or t value
margin of error
interval
summary

Click here to see answer by Boreal(15235) About Me 

Question 1141169: A flashlight has eight batteries, three of which are defective. If two different batteries are selected at random, what is the probability that both of them will be good?
Click here to see answer by Boreal(15235) About Me 

Question 1141167: A large university employs 43 math teachers and 31 English teachers. 18 of the math teachers teach only night classes and 22 of the English professors teach only day classes. What is the probability that a randomly chosen person from this group is either a math professor or teaches only night classes?
(Set up table)

Click here to see answer by Boreal(15235) About Me 

Question 1141166: A random sample of 250 adults found that 67% of them access the internet at work, 82% of them access the internet at home, and 60% access the internet both at home and work. What is the probability that a randomly selected adult will access the internet at home or work?
Click here to see answer by Boreal(15235) About Me 

Question 1141077: A basketball player has made about 70% of his free throws over several years. Suppose that his free throws are independent trials with probability 0.7 of a success on each trial.
(a) What is the probability that he makes none in 6 attempts?

(b) What is the probability that he makes at least one in 6 attempts?

Click here to see answer by greenestamps(13195) About Me 

Question 1141193: A coin is tossed and a die is rolled. What is the probability that the coin lands on tails and the die lands on a number less than five>
Click here to see answer by greenestamps(13195) About Me 

Question 1141189: A flashlight has eight batteries, three of which are defective. If two different batteries are selected at random, what is the probability that both of them will be good?
Click here to see answer by greenestamps(13195) About Me 

Question 1141188: Three dice are thrown. Find the probability that the first one shows a five, and the last two each show even numbers.
Click here to see answer by greenestamps(13195) About Me 

Question 1141202: A five digit number is formed using digits 0 1 2 3 and 4 without repetition. Find the chance that the number is divisible by 5.
Click here to see answer by Alan3354(69443) About Me 

Question 1141198: Find the area under the normal curve to the left of z equals = −0.25 plus the area under the normal curve to the right of z equals = 1.40.
Click here to see answer by Theo(13342) About Me 

Question 1141192: A travel agent wants to estimate the mean price of a flight from Boston to Denver. A different airline study show that the standard deviation of flight tickets is $56.92. The agent wants her estimate to be within $25 of the true mean flight cost. How many flights must she include in her sample in order to be 90% in her estimate?
Click here to see answer by Theo(13342) About Me 

Question 1141253: You choose a tile at random from a bag containing 2A's, 3B's, and 4C's. You replace the first tile in the bag and then choose again. Find each probability.
P(A and A)
P(A and B)
P(B and C)

Click here to see answer by rothauserc(4718) About Me 

Question 1141260: ) According to a certain​ survey, adults spend
2.45
2.45 hours per day watching television on a weekday. Assume that the standard deviation for​ "time spent watching television on a​ weekday" is
1.93
1.93 hours. If a random sample of
60
60 adults is​ obtained, describe the sampling distribution of
x overbar
x​, the mean amount of time spent watching television on a weekday.

Click here to see answer by Boreal(15235) About Me 

Question 1141238: Determine the area under the standard normal curve that lies to the left of ​(a)
Upper Z equals 0.99 comma
Z=0.99, ​(b)
Upper Z equals 0.56
Z=0.56​, ​(c)
Upper Z equals 0.12
Z=0.12​, and ​(d)
Upper Z equals 0.39
Z=0.39.

Click here to see answer by Boreal(15235) About Me 

Question 1141191: A sample of 300 high school juniors found that 195 of them took the SAT more than once. Find the 99% confidence interval for the proportion of all high school juniors who took the SAT more than once.
Click here to see answer by Boreal(15235) About Me 

Question 1141217: Your mother has a rose garden. Every day, she sprays fertilizer on the roses in one section of the garden. Do you expect that the heights of the rose bushes are normally distributed? Explain why or why not.
Click here to see answer by Boreal(15235) About Me 

Question 1141212: Find the z-score for the following area, then draw a picture (if possible! ... you don't have to).
Area: 0.0003

Click here to see answer by Boreal(15235) About Me 

Question 1141272: A survey of 100 photographers found: 60 take black and white photographs, 75 take color photographs and 45 take both types of photographs.
a. How many take color, but not black and white photographs?
use a venn diagram as part of your answer

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1141190: A random sample of 250 adults found that 67% of them access the internet at work, 82% of them access the internet at home and 60% access the internet both at home and work. What is the probability that a randomly selected adult will access the internet at home or at work?
Click here to see answer by VFBundy(438) About Me 

Question 1141082: Show work.
A flashlight has 8 batteries, 3 of which are defective. If two different batteries are selected at random, what is the probability that both of them will be good?

Click here to see answer by Boreal(15235) About Me 

Question 1141080: Show all work.
35% of college graduates find a job in their field within six months of graduation. If you randomly select 3 college graduates, what is the probability that none of them will find a job in their field within 6 months of graduation?

Click here to see answer by Boreal(15235) About Me 

Question 1141084: Show all work
A random sample of 250 adults found that 67% of them access the internet at work, 82% of them access the internet at home, and 60% access the internet both at home and work. What is the probability that a randomly selected adult will access the internet at home or at work?

Click here to see answer by Boreal(15235) About Me 

Question 1141291: In a recent study it was found that 90% of households own large screen TVs. A simple random sample of 12 households is drawn. Let the number of households with large screen TV.

What is the probability that 9 households will have large screen TV? Give your answer to 3 decimal places.

Click here to see answer by Boreal(15235) About Me 

Question 1141310: Currently Samsung ships 22.6 percent of the organic light-emitting diode (OLED) displays in the world. Let S be the event that randomly selected OLED display was made by Samsung.
A. Find p(S)
B. Find P(S')
C. Find the odds in favor of event S
D. Find the odds against event S
I am stumped with this question I need some help

Click here to see answer by Theo(13342) About Me 

Question 1141293: What number of hours lie 2.5 standard deviations above and below the mean? If the distribution is unknown, determine the minimum percentage of lightbulbs with a life within 2.5 standard deviations of the mean

Click here to see answer by Boreal(15235) About Me 

Question 1141128: You want to estimate the mean time college students spend watching online videos each day. The estimate must be within 1 minute of the population mean, and you want to be 99% confident in your estimate. What sample size would be required if the standard deviation of viewing time is 2.4 minutes?
Click here to see answer by Boreal(15235) About Me 

Question 1141083: Set up a table and show all work.
A large university employs 43 math professors and 31 English professors. 18 of the math professors teach only night classes, and 22 of the English professors teach only day classes. What is the probability that a randomly chosen person from this group is either a math professor or teaches only night classes?

Click here to see answer by VFBundy(438) About Me 

Question 1141311: Currently Samsung ships 22.6 percent of the organic light-emitting diode (oled) displays in the world. Let S be the event that randomly selected OLED display was made by Samsung.
A. Find P(S)
B. Find P(S')
C. Find the odds in favor of event S
D. Find the odds against event S

Click here to see answer by Alan3354(69443) About Me 
Question 1141311: Currently Samsung ships 22.6 percent of the organic light-emitting diode (oled) displays in the world. Let S be the event that randomly selected OLED display was made by Samsung.
A. Find P(S)
B. Find P(S')
C. Find the odds in favor of event S
D. Find the odds against event S

Click here to see answer by greenestamps(13195) About Me 

Question 1141366:
Click here to see answer by Alan3354(69443) About Me 

Question 1141449: Two fair six-sided dice are rolled.
What is the probability that the sum of the numbers rolled is either 6 or 12?

Click here to see answer by rothauserc(4718) About Me 

Question 1141456: A sample of 52 observations is taken from a normal population with a standard deviation of 30. The sample mean is 46. Determine the 90% confidence interval for the population mean. (Round the final answers to 3 decimal places.)

Confidence interval for the population mean is ( )
and ( )

Click here to see answer by Boreal(15235) About Me 

Question 1141455: We want to estimate the population mean within 18, with a 90% level of confidence. The population standard deviation is estimated to be 51. How large a sample is required? (Round the intermediate calculation to 2 decimal places. Round the final answer to the nearest whole number.)


Sample size?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1141385: How many different ways can a chairperson and an assistant chairperson be selected for a research project if there are 7 scientists available? Which counting method do you use?
Click here to see answer by greenestamps(13195) About Me 

Question 1141383: Three cards are randomly selected from a deck of 52 cards. After every draw, the card is NOT replaced back in the deck. Find the probability of drawing two Kings in a row, then an Ace.
Click here to see answer by greenestamps(13195) About Me 

Question 1141427: Scores on a recent national statistics exam were normally distributed with a mean of 90 and a standard deviation of 5.
1.What is the probability that a randomly selected exam will have a score of at least 85?
2.What percentage of exams will have scores between 89 and 92?
3.If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award?

Click here to see answer by rothauserc(4718) About Me 

Question 1141454: The Manitoba Tourism Board plans to sample information centre visitors entering the province to learn the fraction of visitors who plan to camp in the province. Current estimates are that 22% of visitors are campers. How large a sample would you take to estimate at a 90% confidence level the population proportion with an allowable error of 1%? (Do not round the intermediate calculations. Round the final answer to the nearest whole number.)

Sample size?

Click here to see answer by Theo(13342) About Me 

Question 1141475: Suppose you work for an airline and you are taking reservations for a flight on an aircraft that has 152 seats. You know, based on historical flights trends, that if you sell a single ticket there is a 91% chance that the person with the ticket will actually show up for the flight. You decide to try to make a little extra money by overbooking your flight and you sell 160 tickets hoping that not more than 152 people will actually show up for the flight
Explain how this scenario meets the four requirements in the definition of a Binomial Distribution (page 200)
Identify what n and p are in this example

Click here to see answer by Boreal(15235) About Me 

Question 1141358: Hi, Compute the critical value
z Subscript alpha divided by 2
zα/2 that corresponds to a
88
88​% level of confidence.Thank you for your help

Click here to see answer by Boreal(15235) About Me 

Question 1141451: It has been suggested that an investment portfolio selected randomly by
throwing darts at the stock market page of The Wall Street Journal may be a sound (and
certainly well-diversified) investment. 11 Suppose that you own such a portfolio of 16
stocks randomly selected from all stocks listed on the New York Stock Exchange
(NYSE). On a certain day, you hear on the news that the average stock on the NYSE
rose 1.5 points. Assuming that the standard deviation of stock price movements that
day was 2 points and assuming stock price movements were normally distributed
around their mean of 1.5, what is the probability that the average stock price of your
portfolio increased?

Click here to see answer by Boreal(15235) About Me 

Question 1141382: Calculate the probability for the following situation, then select the correct answer:
You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card greater than 3 (assume the ace is equal to 1) from the deck?

Click here to see answer by greenestamps(13195) About Me 

Question 1141387: A student applies to two jobs, one at Google and one at Apple. The probability of being hired at Google is 0.2, and independently, the probability of being hired at Apple is 0.6.
(a)What is the probability of receiving job offers from both companies?
(b) What is the probability of receiving job offers from at least one of the companies?
(c) What is the probability of receiving exactly one job offer? (d) What is the probability of not receiving any job offers?

Click here to see answer by ikleyn(52750) About Me 

Question 1141505: Given a normal distribution with � = 104 and σ = 25, if you select a sample of n = 25, what is the probability that X bar is
a. less than 94?
b. Between 94 and 95.5?
c. Above 104.4?
d. There is a 68% chance that X bar is above what value?

Click here to see answer by Boreal(15235) About Me 

Question 1141384: If a distribution follows the binomial distribution with n = 50 and probability of success of 0.25, calculate the mean and variance.
Click here to see answer by Boreal(15235) 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