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

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

Question 1102268: How many bytes have the first and the last digits equal to 1?
Click here to see answer by Alan3354(69443)

Question 1102170: P(queen/face card)
Click here to see answer by Alan3354(69443)

Question 1102278: 01. The life span of a battery ins normally distributed with mean 30 months ans standard deviation 5 months
a) what percentage of batteries will have a life span less than 35 months

b) what is the probability that the life span is less than 40 months
Click here to see answer by Lightning_Fast(78)

Question 1102229: For which variables is it appropriate to use the median?
Click here to see answer by Lightning_Fast(78)

Question 1102251: a family has 3 children. if each of the outcomes in the sample space is equally likely, find the probability that the family has 3 girls given that:
A) the first child is a girl
B) the first child is a boy
Click here to see answer by Lightning_Fast(78)

Question 1102178: It is estimated that
92%
of senior citizens suffer from sleep disorders and
9%
suffer from anxiety. Moreover,
5%
of senior citizens suffer from both sleep disorders and anxiety.
(a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from sleep disorder? Round your answer to the nearest hundredth.
(b)Find the probability that a senior citizen suffers from anxiety, given that he or she has sleep disorder. Round your answer to the nearest hundredth.
Click here to see answer by Lightning_Fast(78)

Question 1102156: The birth weight of a certain species of dolphins is normally distributed with a mean weight of 47.4 pounds and a variance of 6.25. We would expect approximately 95% of newborn dolphins of that species to weigh between ______ pounds.
Click here to see answer by Lightning_Fast(78)

Question 1099328: Assume that when adults with smartphones are randomly selected, 61% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that exactly 5 of them use their smartphones in meetings or classes.
The probability is
nothing.

Click here to see answer by Lightning_Fast(78)

Question 1102356: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.3 years, and standard deviation of 1.2 years.
If 22 items are picked at random, 6% of the time their mean lifespan will be less than how many years?

Click here to see answer by stanbon(75887)

Question 1102343: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 85 inches, and a standard deviation of 14 inches. What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 87.8 inches?

Click here to see answer by Boreal(15235)

Question 1102313: Suppose the examination scores in a leaving cert subject can be modelled by a normal distribution with a mean of 62% and a standard deviation of 11%. Using this model
(a) Find the percentage of students who get 90% or more.
(b) Find the percentage of students who fail, i.e get less than 40%.
(c) Tom discovered he scored in the 96th percentile on this exam. What score did he get?

Click here to see answer by Boreal(15235)

Question 1102387: The bulbs manufactured by a company
Click here to see answer by richwmiller(17219)

Question 1102408: The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 3.5 per week. Find the probability of the following events.
A. No accidents occur in one week.
B. 4 or more accidents occur in a week.
C. One accident occurs today.
Click here to see answer by Boreal(15235)

Question 1102406: A quiz consists of 20 multiple-choice questions, each with 4 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %.
Click here to see answer by Boreal(15235)

Question 1102407: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best reate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 1919 Southwest flights and observing whether they arrive on time. (a) Find the probability that at least 66 flights arrive on time.
Click here to see answer by stanbon(75887)

Question 1102383: A smartphone manufacturer advertises that, on average, its cell phone batteries will last more than 50000 hours. To test the claim, an AUS student took a random sample of 100 smartphones and measured the amount of time until each battery lasted. Mean for the sample is 50650. If we assume that the lifetime of this type of battery has a standard deviation of 4000 hours, can we conclude at the 5% significance level that the claim is true?
Click here to see answer by stanbon(75887)

Question 1102338: Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.
Upper H0: p=0.3 versus Upper H1: p>0.3
n=200; x=70, alphaα=0.01
Click here to see answer by stanbon(75887)

Question 1102436: A multiple choice exam has 60 questions . Each question has 4 possible answers and only 1 answer out of the 4 possible answers is correct . To receive an A grade , one must answer 95% and above of the question correctly. We know that 54 questions were answered correctly . What is the probability of receiving an A grade ?
A . 0.169
b. 0.466
c. 0.500
d. 0.743
Answer : A
Click here to see answer by natolino_2017(77)

Question 1102448: Assuming a telemarketer has a 20% chance of selling item A to each caller, a 40 % chance of selling item B to each caller, and the event of selling item A is independent to the event of selling item B. Each call in which the telemarketer sells both item A and item B takes 150 seconds, each call that sells only one item (item A or item B but not both) takes 60 seconds and each call that doesn't sell any items takes 30 seconds. If the telemarketer makes 45 calls, what is the average amount of time it takes?
Answer : 2376 Second
Click here to see answer by greenestamps(13195)

Question 1102441: a family has 6 children, find the probability that fewer boys and than girls. the probability that any child being a boy is equal to half
Click here to see answer by greenestamps(13195)

Question 1102482: Consider the following null and alternative hypotheses.
H0: μ ≥ 9
Ha: μ < 8
Answers:
a.
do not reference a population parameter
b.
are not mutually exclusive
c.
are established correctly
d.
are not collectively exhaustive

Click here to see answer by Boreal(15235)

Question 1102481: Question 10
Jennifer Cantu, Vice President of Customer Services at Tri-State Auto Insurance Inc.,
monitors the claims processing time of the claims division. Each week, her staff randomly
selects a sample of 64 claims. They test the null hypothesis that the "mean processing time
is 5 days" and the alternative hypothesis that the "mean processing time is more than 5
days" using the 0.05 level of significance. Last week the sample mean was 5.2 days.
Assuming a population standard deviation of 1.56 days, the appropriate decision is _____.
Answers:
a.
reduce the sample size
b.
do not reject the null hypothesis
c.
increase the sample size
d.
reject the null hypothesis

Click here to see answer by Boreal(15235)

Question 1102495: if two dice are rolled one time, find the probability of getting a sum of 9?
Click here to see answer by stanbon(75887)

Question 1102488: An average computer mouse inspector can inspect 40 mice per hour with a population standard deviation of 10 mice per hour. The 42 computer mice inspectors at a particular factory can only inspect 33 mice per hour. Does the company have reason to believe that these inspectors are slower than average at alpha = 0.10?
A) No, because the test value -2.62 falls in the critical region.
B) Yes, because the test value -4.54 falls in the noncritical region.
C) No, becuase the test value -2.62 falls in the noncritical region.
D) Yes, because the test value -4.54 falls in the critical region.
Click here to see answer by stanbon(75887)

Question 1102155: Suppose the length of a species of crocodiles is normally distributed. If 99.7% of these crocodiles are between 7.5 and 20.7 feet long, determine the standard deviation of the distribution in feet.
Click here to see answer by Theo(13342)

Question 1102527: Margin of error: 0.005; confidence level: 99%; from a prior study, P is estimated by 0.232.

Click here to see answer by stanbon(75887)

Question 1102523: On a multiple choice test with 7 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the mean for the number of correct answers.

Click here to see answer by stanbon(75887)

Question 1102548: Can someone help me with algebra lessons in Pearsons lab if I give them my password?? I am willing to pay someone. I have an old head injury that messes up my math, thanks so much...
Click here to see answer by mathtosolve(1)

Question 1102549: The odds of losing money on a particular stock is 8 to 2. What is the probability that money will be lost on the stock? Show your work...
Click here to see answer by Edwin McCravy(20054)

Question 1102556: Three cards are selected from a 52-card deck of cards. What is the probability of choosing three jacks?
Click here to see answer by Boreal(15235)

Question 1102547: Express the event �there is at least one head, but no more than two heads� as a set. Show each of the possible combinations. show your work.
Click here to see answer by Boreal(15235)

Question 1102563:
Click here to see answer by Alan3354(69443)

Question 1102542: Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the same number of decimal places as the sample mean.
39 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 29.9 pounds and a standard deviation of 3.0 pounds. What is the 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service?
Click here to see answer by rothauserc(4718)

Question 1102594: in a survey 144 people, 83 people said they liked eggs, 65 people said they liked toast, 30 said they liked neither. how many people like both?
a 34
b 71
c 18
d 114
Click here to see answer by jim_thompson5910(35256)

Question 1102593: the odds of macy passing her driver's test on the first try are 12:13. Determine the probability that she will pass her driver's test
a) 0.923 b) 0.520 c) 0.480 d) 1.083
Click here to see answer by jim_thompson5910(35256)

Question 1102602: A random variable x is binomially distributed with mean 3 and variance 2. find the probability distribution of X, and also draw the graph of Distribution Function.
Solution:
as given mean=np=3-----(1) and var(x) =npq= 2--------(2)
substituting value fro 1 into 2.
2=(3)q => q=2/3

p=1-2/3 = 1/3
eq(1)=>
n(1/3)=3 => n=9
then after that what whould i do to calculate the probability distributions for x??? please guide me sir.. I shall be very grateful. Thanks!

Click here to see answer by rothauserc(4718)

Question 1102651: Assume that the readings on the thermometers are normally distributed with a mean of 0 and a standard deviation of 1.00. A thermometer is randomly selected and tested. Find the probability of each reading in degrees.
(a) Between 0 and 2.57:
(b) Between -2.46 and 0:
(c) Between -1.9 and 2.36:
(d) Less than -0.95:
(e) Greater than 2.4:

Click here to see answer by Boreal(15235)

Question 1102685: a company buys a shipment of 10,000 computer chips if there are 2 or less defects per 100 chips. Assuming there is 300 defective chips in the shipment and the rate of defective chip in the sample is the same as the rate will the shipment be accepted

Click here to see answer by Boreal(15235)

Question 1102326: In a board game, a timer is designed to run out somewhere between 60s and 180s. All times are equally distributed from 60s to 180s. What is the probability that the timer runs out in less than 100s. What is the probability that the timer lasts more than 30s. Thank- you very much for your help
Click here to see answer by Boreal(15235)

Question 1102485: A wheel bearing factory rejects bearings if they are either oversize or undersize. The probability that a bearing is oversize is 0.004 while the probability that it is undersize is 0.01.
Click here to see answer by richwmiller(17219)

Question 1102726: There are six slips in a box and numbers 1,1,2,2,3,3 are written on these slips.two slips are taken at random from the box.the expected values of the sum of numbers on the two slips is?
Click here to see answer by Fombitz(32388)

Question 1102730: A letter is taken out at random from the word RANGE and another is taken out from the word PAGE. The probability that they are the same letter is:
Click here to see answer by Fombitz(32388)

Question 1102711: A card is drawn from a standard 52-card deck. Calculate the expected value for the game. A player must pay 4 dollars to play the game, which must be subtracted from the winnings. If a diamond is drawn, the player wins 10 dollars; otherwise, they lose their 4 dollars. Calculate the price that would make the game fair
Click here to see answer by Fombitz(32388)

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