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 666375: until 1995 area codes could not have a first digit of 0 or 1 and the second digit had to be a 0 or a 1 the third digit could be anything how many possible area codes were there?
Click here to see answer by swincher4391(1107) About Me 

Question 666404: Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 12 mountain climbers who are going to attempt Mt. McKinley, what is the probability of each of the following?
a.)At least 8 reach the summit
b.)no more than 8 reach the summit
c.)6 to 10 reach the summit, including 6 and 10

Click here to see answer by swincher4391(1107) About Me 

Question 666412: a license plate consists of 1 letter followed by 5 digits how many different license plate can be made? if no digit could be repeated how many possible license plates would there be?
Click here to see answer by swincher4391(1107) About Me 

Question 666610: A certain unfair coin lands on heads 1/3 of the time. The coin is tossed 5 times. Finds the probability of no more than 3 heads


Click here to see answer by swincher4391(1107) About Me 

Question 666620: Find the variance for the values of n and p when the conditions for the binomial distribution are met. n = 900, p = 0.65

Click here to see answer by swincher4391(1107) About Me 

Question 666730: in a class of 38 students, 13 are math majors. the teacher selects 2 students at random from this class. the probability (to 3 decimal places) that both of them are math majors is:
Click here to see answer by ewatrrr(24785) About Me 

Question 666702: Carmen has bought tickets for a raffle. The probability of her winning is 3/8 What are the odds in favor of her winning?

Click here to see answer by ewatrrr(24785) About Me 

Question 666743: the probability that a physician is a pediatrician is 0.17. the administration selects 2 physicians at random. the probability(rounded to three decimal places) that none of them is a pediatrician is:
Click here to see answer by ewatrrr(24785) About Me 

Question 666761: eight percent of all college graduates hired by companies stay with the same company for more than five years. the probability, rounded to four decimals places , that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than 5 years is:
Click here to see answer by ewatrrr(24785) About Me 

Question 666866: 1)U.S. Bureau of the Census data reveal the town of Smallville, OH has a population of 10 families. These families own the following:
Family X1 X2 X3 X4 X5 X6 X7 X8 X9 X10
Autos 4 5 3 2 2 3 3 1 4 3
TVs 4 4 5 3 3 4 5 5 4 3
a) Calculate the population mean number of TVs owned by a family.
b) Calculate the population median number of Autos owned by a family.
c) Calculate the population mode number of Autos owned by a family.
d) Calculate the population range number of Autos owned by a family.
e) Calculate the population variance number of TVs owned by a family.
f) Calculate the population standard deviation number of TVs owned by a family.
g) Calculate the coefficient of skewness number of TVs owned per family.
h) Construct a frequency table for the number of TVs owned by a family.
i) Plot a cumulative frequency polygon for the number of Autos owned by the families.

Click here to see answer by solver91311(24713) About Me 

Question 667012: a true false test has 5 questions what is the probability of getting atleast 4 right by guessing all the answers
Click here to see answer by solver91311(24713) About Me 

Question 667035: on an eight question true -false quiz a student guesses at each answer without even reading the question. what is the probability that he gets at least one of the answers correct
Click here to see answer by swincher4391(1107) About Me 

Question 667053: three cards are drawn from a standard 52 card deck with replacement. What is the probability that at most 2 of the cards are diamonds?
Click here to see answer by stanbon(75887) About Me 

Question 667031: The combined SAT scores for the students at a local high school are normally distributed with a mean of 1548 and a standard deviation of 299. The local college includes a minimum score of 2266 in its admission requirements.
What percentage of students from this school earn scores that fail to satisfy the admission requirement?
P(X < 2266) = %
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
I tried 2266-1548/299

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

Question 667000: Police Chief Edward Wilkin of River City reports 500 traffic citations were issued last month. A sample of 35 of these citations showed the mean amount of the fine was $54, with a standard deviation of $4.50. Construct a 95 percent confidence interval for the mean amount of a citation in River City.
please be detailed and show all work

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

Question 667079: A car rental agency currently has 43 cars available, 27 of which have a GPS navigation system. Two cars are selected at random from these 43 cars. Find the probability that both of these cars have GPS navigation systems.
Click here to see answer by swincher4391(1107) About Me 

Question 667090: Percentage, proportion, or probability—identify which is illustrated by each of the following statements.
(a) One-third of the crowd had a clear view of the event.
percentage proportion probability
(b) Fifteen percent of the voters were polled as they left the voting precinct.
percentage proportion probability
(c) The chance of rain during the day tomorrow is 0.2.
percentage proportion probability

Click here to see answer by swincher4391(1107) About Me 

Question 667165: A and B are events defined on a sample space, with P(A) = 0.5 and P(A and B) = 0.2. Find P(B | A).
Click here to see answer by Edwin McCravy(20054) About Me 

Question 667101: The mean of a distribution is 15 and the standard deviation is 3. Which of the following values is unusual?

A.20
B.22
C.10
D.12

Click here to see answer by ewatrrr(24785) About Me 

Question 667107: draw one card (out of a deck of 52) at a time until you get four cards. count the number of jacks you get. find the probability distribution
Click here to see answer by Edwin McCravy(20054) About Me 

Question 667100: The mean of a distribution is 100 and the standard deviation is 10. Which of the following values is unusual?
A.130
B.80
C.120
D.90
can you please explain how to do this, i dont understand it.

Click here to see answer by ewatrrr(24785) About Me 

Question 667206: A fire department in a rural county reports that its response time to fires is approximately
Normally distributed with a mean of 22 minutes and a standard deviation of 11.9 minutes.
Approximately what proportion of their response times is over 30 minutes?
a)0.03
b)0.21
c)0.25
d)0.75
e)0.79

Click here to see answer by ewatrrr(24785) About Me 

Question 667084: On a particular test, IQ scores for adults follow a bell-shaped distribution with mean= 100 and a variance of 4. In a random sample of 300 adults, approximately how many would have IQs greater than 104?
Click here to see answer by stanbon(75887) About Me 

Question 667066: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.
If P(z < e) = 0.4266, find e.
e=

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

Question 666917: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 99.5-cm and a standard deviation of 2.5-cm.
Find the probability that the length of a randomly selected steel rod is between 99-cm and 106-cm.
P(99-cm < X < 106-cm) =
I tried doing the length times the standard deviation.

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

Question 667267: A researcher conducts a hypothesis test to evaluate the effect of a treatment. The hypothesis test produces a z=-2.60. Assuming that the reseacher is using a two-tailed test, what is the correct statistical decision?
Click here to see answer by ewatrrr(24785) About Me 

Question 667280: If you draw a single card from a standard 52 card deck, in how manyways can you obtain a nonface card?
Click here to see answer by solver91311(24713) About Me 

Question 667281: How many two-digit counting numbers are not a multiple of 10?
Click here to see answer by ewatrrr(24785) About Me 

Question 667284: Key word in question is Late
# on time # late
Poduck airlines 33 6
Upstate Airlines 43 5

If one of the 87 flights is randomly selected, find the probability that the flight selected is an Upstate Airlines flight given that it was late.

Click here to see answer by ewatrrr(24785) About Me 

Question 667332: How does someone tell you when an answer you provided is wrong. The answer at this URL is entirely (and pretty obviously) wrong...
http://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.341455.html
The correct answer for the odds of getting at least one club by picking cards (with replacement) 11 times is 1 - (3/4)^11 = 1 - .04787 = .95213

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

Question 667326: THERE ARE 9 LESS THAN 3 TIMES AS MANY BOYS AS GIRLS IN THE CHESS CLUB. OF THE CLUB HAS 79 MEMBERS, HOW MANY ARE BOYS AND HOW MANY ARE GIRLS
Click here to see answer by solver91311(24713) About Me 

Question 667346: The organizer of a television show must select 5 people to participate in the show. that participants will be selected from a list of 26 people who have written in to the show. if the participants are selected randomly, what is the probability that the 5 youngest people wil be selected?
not sure if this is 6! or do I have to use 8!(8-6!) =8!/2!

Click here to see answer by MathLover1(20849) About Me 

Question 667365: table
cola root beer sprite
under 21 years of age= 40 25 20
between 21 and 40= 35 20 30
over 40= 20 30 35
If one of the 255 subjecta is randomly selected , find the probability that the person is over 40 years of age (fraction form) Please let me know formula used.. I want to learn :)

Click here to see answer by ewatrrr(24785) About Me 

Question 667494: how many 3-letter group can be made with the word FILIPINO? those that doesn't have any meaning counts as well like FNP, III or PNI.
Click here to see answer by lynnlo(4176) About Me 

Question 667544: If you draw a single card from a standard 52-card deck, in how many ways can you obtain a result of a number card that is a multiple of three?
Click here to see answer by stanbon(75887) About Me 

Question 667468: Suppose we want to determine the (binomial) probability (p) of getting 8 heads in 10 flips of a 2-sided coin. Using Table 2 in Appendix B of the text, what values of n, x and p would we use to look up this probability, and what would be the probability?
Click here to see answer by stanbon(75887) About Me 

Question 667446: I could really use some help on this problem. I am really confused on how to do it. I have attached the link for the appendix table that i have to use for the problem if that also helps.
http://digitalbookshelf.southuniversity.edu/books/9781133701941/content/image/H_01941_app-b_f0001.jpg
Suppose we want to determine the (binomial) probability (p) of getting 2 heads in 5 flips of a 2-sided coin. Using the Binomial Table (Table 2 in Appendix B) of the text, what values of n, x, and p would we use to look up this probability, and what would be the probability?
thank you in advance

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

Question 667607: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.
If P( z < e ) = 0.0344 find e

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

Question 667615: A distribution of values is normal with a mean of 231.6 and a standard deviation of 62.4.
Find the probability that a randomly selected value is less than 312.7.
P(X < 312.7) =

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

Question 667618: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 111.5-cm and a standard deviation of 2.4-cm.
Find the probability that the length of a randomly selected steel rod is between 105.3-cm and 115.6-cm.
P(105.3-cm < X < 115.6-cm) =

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

Question 667627: population with a mean of 110 and a standard deviation of 6, what is the likelihood of a score of 100 or lower?
Click here to see answer by stanbon(75887) About Me 

Question 667647: For the table that follows, answer the following questions:
x
y

1
-1/2

2
-1

3
-3/2

4










- Would the correlation between x and y in the table above be positive or negative?

- Find the missing value of y in the table.

- How would the values of this table be interpreted in terms of linear regression?

- If a "line of best fit" is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative?

Click here to see answer by MathLover1(20849) About Me 

Question 667827: The physical fitness of a patient is often measured by the patient’s maximum oxygen uptake (ml/kg). The mean maximum oxygen uptake for cardiac patients who regularly participate in sports or exercise programs is 24.1 ml/kg and the standard deviation is 6.30 ml/kg. Maximum oxygen uptake measurements have a Normal distribution.
a) What is the probability that a cardiac patient who regularly participates in sports or exercise programs has a maximum oxygen uptake of at least 20 ml/kg?
b) What is the probability that a cardiac patient who regularly participates in sports or exercise programs has a maximum oxygen uptake between 18 ml/kg and 31 ml/kg?
c) What is the probability that a cardiac patient who regularly participates in sports or exercise programs has a maximum oxygen uptake of 10.5 ml/kg or lower?
d) Consider a cardiac patient with a maximum oxygen uptake of 10.5 ml/kg. Is it likely that this patient regularly participates in sports or exercise programs?

Click here to see answer by ewatrrr(24785) 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