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 638248: hello..
please help me in this probability problem.
a circular dart board is divided into 4 sectors. 150^(0) of it is green, the second part is 90^(0) of the color red, 80^(0) is blue and 40^(0) is red. { please note that i have not make any errors in copying the question and i clearly specify that in my book the red color is mentioned two times}
calculate the probability that the dart hits :1.the green sector
:2.the blue sector
:3.a sector which is not blue.
:4.a red sector.
what i would like to know is that whether the total number of favourable outcomes is in degrees?? and how to calculate the 4th part of it.
thanking you in advance.!
post scrip-tum : by 150^(0) i meant 150 degrees. { i am not sure whether i have written it correctly. sorry for any inconvenience}

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

Question 638307: using a standard normal table
Compute P(z<_1.05)
Compute P(z.37<_z)

Click here to see answer by keoshaware(1) About Me 

Question 638306: If 30 people take an IQ exam, how many would you expect to get above a 93%?
Click here to see answer by stanbon(75887) About Me 

Question 638305: . A radar unit is used to measure the speed of automobile on an expressway during rush-hour traffic. The speeds of individual automobiles are normally distributed with a standard deviation of 4 mph.
a. Find the mean of all speeds if 3% of the automobiles travel faster than 72 mph. Round the mean to the nearest tenth.
b. Using the mean you found in part a, find the probability that a car is traveling between 70 mph and 75 mph. Interpret the meaning of this answer.
c. Using the mean you found in part a, find the 25th percentile for the variable "speed".

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

Question 638353: Please Help
Consider a normal population with µ = 25 and σ = 7.0.
(A) Calculate the standard score for a value x of 24.
(B) Calculate the standard score for a randomly selected sample of 30 with x = 24.
(C) Explain why the standard scores of 24 are different between A and B above.
This is what I have but am not sure if it correct.
(A) z(24)= (24-25)/7
(-1)/7=-0.1429
(B) z(24) = (24-25)/(7/sqrt30)
(-1)/(7/900)
(-1)/(128)=-0.0078
(C) The sample mean is the same as the population mean and the sample mean standard deviation is sqrt(n).

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

Question 638348: How do you write a linear equation from x and y coordinates
Click here to see answer by MathLover1(20849) About Me 

Question 638580: The total area under the curve is _________.

4

3

2

1

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

Question 638588: Hi - I need help please:
Jessica has a bag containing 100 jelly beans. There are 20 red, cinnamon-flavored; 25 yellow, lemon flavored; 15 green, mint flavored; 30 purple, grape flavored; and 10 white, pineapple flavored.
1) Calculate the theoretical probability of picking a red bean and then picking a primary colored bean
2) Calculate the theoretical probability of picking a fruit flavored or primary colored bean
3) Calculate the theoretical probability of picking a red or green or fruit flavored bean

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

Question 638570: Please help me with these statistic problems.
Given the data set H = {2, 3, 6, 7, 7, 9, 9, 10, 10, 17}
Problem 1) Since the interquartile range of H is 4, the value 17 is a(n) ___________ in H.
Problem 2) Since (7+9)/2 = 16/2 = 8, the _______________ of H is 8.
Problem 3) Since 10 is the "middle" value of {9, 9, 10, 10, 17}, the ________________ of H is 10.
Thank you!

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

Question 638632: Find the mean and standard deviation of the following probability distribution:

x

1

2

3
P(x)

0.3

0.5

0.2

Click here to see answer by reviewermath(1029) About Me 

Question 638838: what is an interval survey question that has to do with the olympics?
Click here to see answer by Alan3354(69443) About Me 

Question 639021: A random sample is selected from a population with µ= 80 and σ = 10. To ensure a standard error of 2 points or less, the sample size should be at least __________.
A) n = 5
B) n = 10
C) n = 25
D) It is impossible to obtain a standard error less than 2 for any sized sample

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

Question 639076: If the probability of winning is 1/4, then what are the odds-against of winning?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 639089: There are 30 good computers and 6 defective ones. In how many ways can 18 computers be selected so that exactly 2 computers are defective?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 639088: On a table, there are 50 good pens and 10 defective pens. In how many ways can 25 pens be selected so that exactly 3 are defective?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 639097: In how many ways can n + 1 men and n women be seated in a row under each of the following conditions:
1) no restriction by sex
2) no men in adjacent seats
3) at least two men in adjacent seats

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

Question 639130: Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. In a certain game, if a seven or twelve occurs on the first roll, the player wins. What is the probability of winning on the first roll?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 639136: Wheel of Fortune: In Exercises 35-38 use the small replica of the Wheel of Fortune. If the wheel is spun at random, determine the probability of the sector indicated stopping under the pointer. A number greater than $700.
Click here to see answer by solver91311(24713) About Me 

Question 639337: Help...
Answer the following:
(A) Find the binomial probability P(x = 4), where n = 12 and p = 0.30.
(B) Set up, without solving, the binomial probability P(x is at most 4) using probability notation.
(C) How would you find the normal approximation to the binomial probability P(x = 4) in part A? Please show how you would calculate µ and σ in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the calculations.

Click here to see answer by reviewermath(1029) About Me 

Question 639704: In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations). The following information is provided.
SSTR = 200 (Sum Square Between Treatments)
SST = 800 (Total Sum Square)

The test statistic is
options:
3.75
0.200
5.00
15

Click here to see answer by reviewermath(1029) About Me 

Question 639646: ....
A study is conducted to determine if adults over 50 years old with higher total cholesterol levels are more hostile than those with lower cholesterol levels. A group of 100 adults is randomly selected and their level of hostility as well as their cholesterol levels is recorded.
I. What is the population?
II. What is the sample?
III. Is the study observational or experimental? Justify your answer.
IV. What are the variables?
V. For each of those variables, what level of measurement (nominal, ordinal, interval, or ratio) was used to obtain data from these variables?

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

Question 639742: In a plastic jar there are 5 red marbles,
7 blue marbles, and 3 green marbles. How
many green marbles need to be added to
the jar in order to double the probability of
selecting a green marble?
a.2
b.3
c.5
d.6
e.7

Click here to see answer by reviewermath(1029) About Me 

Question 639767: A caterer offers 7 different entrees.
A customer may choose any 3 of the entrees
for a dinner. How many different
combinations of entrees can a customer
choose?
a.6
b.35
c.84
d.210
e.840

Click here to see answer by reviewermath(1029) About Me 

Question 639893: A manufacturer company uses an acceptance scheme on items from a production line before they are shipped. The plant is a two-stage one. Boxes of 25 items are readied for shipment, and a sample of 3 items is tested for defective. If any defectives are found, the entire box is sent back for 100% screening. If no defectives are found, the box is shipped.

a) What is the probability that a box containing 3 defectives will be shipped?

b) What is the probability that a box containing only 1 defective will be sent back for screening?

Click here to see answer by reviewermath(1029) About Me 

Question 640315: a box contains 10 items,3 of which are defective.If 4 are selected at random,without replacement ,find the probability that at least 2 are defective????
Click here to see answer by reviewermath(1029) About Me 

Question 640321: basket contain 11 fruit 3 are spoil,fine the probability that all are spoil when 4 is chosen at random
Click here to see answer by reviewermath(1029) About Me 

Question 640559: In a normal distribution with mu = 25 and sigma = 3, what number corresponds to z = -3?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 640611: If light bulbs have lives that are normally distributed with a mean of 2500 hours and a standard deviation of 500 hours, what percentage of light bulbs have a life less than 2500 hours?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 640624: In how many ways can 7 people seated on a sofa if there are only 4 seats available?

Click here to see answer by reviewermath(1029) About Me 

Question 640844: Assume that the pointer can never lie on a border line. Find the following probabilities. (Enter each answer as a fraction.)
P(A) =
P(B) =
P(C) =
P(D) =
P(E) =
P(F) =
P(G) =
P(H) =
P(I) =

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

Question 640871: I have 3 red socks, 4 blue socks and 6 green socks in a drawer. What is the probability that I will NOT pick a blue sock?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 640866: There are 20 pennies, 15 nickels, 3 dimes, and 12 quarters.
what are the odds of picking a value less than $0.25?

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

Question 638817: In many cases probability is associated with risk where we need to know the Expected Value to assess the fairness of the risk. Provide one example to show how you can use the Expected Value computation to assess the fairness of a situation (probability experiment). Provide the detailed steps and calculations.
Click here to see answer by lovelylady65(2) About Me 

Question 641075: The board of directors of a small company consists of five people. Three of those are " strong leaders." if they buy idea, the entire board will agree. The other " weak" members have no influence. Three salesmen are scheduled, one after the other, to make sales presentations to a board member of the salesman's choice. the salesmen are convincing but do not know who the "strong leaders" are. However, they will know who the previous salesmen spoke to. the first salesman to find a strong leader will win the account. Do the three salesmen have the same chance of winning the account? if not, find their respective probabilities of winning.
Click here to see answer by BloodMagic(2) About Me 

Question 641101: A coin that is balanced should come up heads half the time in the long run. The population for coin tossing contains the results of tossing the coin forever. The parameter p os the probability of a head, which is the proportion of all tosses that give a head. A coin is tossed 4040 times and gives 2085 heads. Is the coin biased? Use alpha =.05
Click here to see answer by reviewermath(1029) About Me 

Question 641182: bill's scores on his first four science tests are 86,,90,84,and 91.what test score must bill earn on the fifth test so that his average (mean) will be exactly 88?
Click here to see answer by josh_jordan(263) About Me 

Question 641327: Suppose you have an extremely unfair coin: The probability of a head is ¼ and the probability of a tail is ¾. If you toss the coin 32 times, how many heads do you expect to see?
Click here to see answer by stanbon(75887) About Me 

Question 641370: "If the random variable z is the standard normal score and a > 0, is it true that P9z > -a) = P9z < a)"

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

Question 641371: A multiple-choice test consist of 7 questions with each question having 5 possible answers, how many different ways are there to mark the answers?
Click here to see answer by stanbon(75887) About Me 

Question 641475: Over time, you have many conversations with a friend about your favorite actress, favorite musician, favorite book, favorite TV show, and so forth for 100 separate topics. On any given topic, there’s only a .02 probability that you agree. If you did agree on a topic, you would consider it to be coincidental.
a. If whether you agree on any two different topics are independent events, find the probability that you and your friend never have a coincidence on these 100 topics.
b. Find the probability that you have a coincidence on at least one topic.

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

Question 641530: If the mean of a normal distribution is 70 and the standard deviation is 10 what is the probability the item selected at random for this sample will be greater than 80?
Click here to see answer by stanbon(75887) About Me 

Question 641493: Suppose we test the difference between two proportions at the 0.05 level of significance. If the computed z is -1.07, what is our decision?
A. Reject the null hypothesis.
B. Do not reject the null hypothesis.
C. Take a larger sample.
D. Reserve judgment.


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

Question 641738: Assuming that each child has the probability 0.5 being a boy. Find the probability that a family of 4 children has:
a. exactly one boy
b. 2 or 3 boys
c. all girls and
d. at least one boy

Click here to see answer by DrBeeee(684) 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