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

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

Question 810545: Twelve fair coins are tossed all at once. What is the probability that exactly 5
of them land heads up?
Click here to see answer by stanbon(75887)

Question 810453: suppose that an urn contains 4 green marbles, 7 black marbles, and 9 white marbles. if one marble is selected determine the probability that it is green
Click here to see answer by stanbon(75887)

Question 810419: A problem in Statistics is given to three students A, B and C whose chances of solving it are 1/3, 1/4 and 1/5 respectively. Find the probability that the problem will be solved if they all try independently.
Click here to see answer by stanbon(75887)

Question 810597: SOME TREE-DIGIT NUMBERS, SUCH AS 101 AND 313, READ THE SAME FORWARD AND BACKWARD, IF YOU SELECT A NUMBER FROM ALL THREE-DIGIT NUMBERS, FIND THE PROBABILITY THAT IT WILL READ THE SAME FORWARD AND BACKWARD...?
Click here to see answer by Okeke_Christian(26)

Question 810394: Would you please show the steps in how to compute these? This as you know is z scores. Thank you.
The average commute time via train from the Chicago O'Hare Airport to downtown is 60 minutes with a standard deviation of 15 minutes. Assume that the commute times are normally distributed. What proportion of commutes would be:
a. longer than 80 minutes?
b. less than 50 minutes?

Click here to see answer by stanbon(75887)

Question 810324: A box contains 10 calculators, 5 of which are defective. If 4 are selected at random,find the following probabilities:
A.exactly 2 are defective
B.at least 1 is defective
Click here to see answer by stanbon(75887)

Question 810265: The lifetime of light bulbs that are advertised to last for 6200 hours are normally distributed with a mean of 6500 hours and a standard deviation of 150 hours. What is the probability that a bulb lasts longer than the advertised figure?
Click here to see answer by stanbon(75887)

Question 810647: six hundred chances are sold at $3 a piece for a raffle there is a grand prize of $400 two second prizes for $350 and five third prizes for $50 first calculate the expected value of the game determine if the game is fair if the game is not fair determine a price for playing the game that would make it fair

Click here to see answer by stanbon(75887)

Question 810759: A pair of dice is rolled. What are the odds against rolling a sum of 5
Click here to see answer by josmiceli(19441)

Question 810123: Yes
Click here to see answer by tommyt3rd(5050)

Question 810792: The probability that a dessert sold at a certain caf� contains chocolate is 75%. The probability that a dessert contains both chocolate and nuts is 23%. Find the probability that a randomly chosen chocolate dessert contains nuts. Round to the nearest tenth of a percent.
Click here to see answer by oscargut(2103)

Question 810783: A carton of eggs has 3 bad eggs and 9 good eggs. If an omelette is made of 3 eggs randomly selected from the carton,
a)what is the probability of having at least one bad egg in the omelette?
b)what is the probability of having exactly 2 bad eggs in the omelette?
c)compute E(x^2)-[E(x)]^2
Click here to see answer by oscargut(2103)

Question 810747: a book has 100 pages.. with 200 errors randomly distributed among them.. find the probability that one page of the book is error free..??
a)67%
b)50%
c)25%
d)13%
Click here to see answer by oscargut(2103)

Question 810729: Determine whether the samples are independent or consist of matched pairs. The accuracy of verbal responses is tested in an experiment in which individuals report their heights and then are measured. The data consist of the reported height and measured height for each individual.
Click here to see answer by oscargut(2103)

Question 810857: In a softball league, after each team has played every other team 4 times, the total accumulated points are: Lions 22, Tigers 19, Mounties 14, Royals 12. If each team received 3 points for a win, 1 point for a tie and no points for a loss, how many games ended in a tie?
I NEED THE ANSWER TO THIS PROBLEM ASAP AND THANKS FOR SOLVING FOR ME!
I will send thank yous back to solvers!!:)
Click here to see answer by richwmiller(17219)

Question 682082: The probability Michael makes a shot from his desk into the wastebasket is 0.6
a.) What is the probability Micheal shoots and misses?
p(Michael misses the shot) =
b.) What is the probability Michael makes3 shots in a row?
P(Michael makes 3 shots in a row) =
c.) What is the probability Michael misses his first three shots and makes his fourth shot?
P(no basket until the fourth shot) =
Click here to see answer by 2484(1)

Question 811390: Hi, the problem is...
if i am taking a 10 question multiple choice test (4 options for each question) what is the probability of getting a 100%?
Click here to see answer by richwmiller(17219)

Question 811566: A radio station gives a weather reports every 15 secs. Each report last 45 secs. Suppose u turn radio on a random time. Find the probability that report will be on when u turn on radio
Click here to see answer by stanbon(75887)

Question 811564: A radio station gives a weather report every 15 secs. Each report last 45 secs. Suppose you turn radio on at a random time. Find the probability that report will be on when u turn on radio
Click here to see answer by stanbon(75887)

Question 811554: Jayeed is setting tables for a glass picnic. He has 5 different colors of plates and cups: 5 red, 5 blue, 5 green, 5 yellow and 5 purple. He places the plates and cups randomly on the tables. What is the probability that his place will have a green cup and a green plate?
Click here to see answer by stanbon(75887)

Question 811546: 5. The average salary of senior managers in the construction industry is $180,000 per year. Suppose we would like to take a sample of senior managers at a newly established company XYZ to see whether the mean annual salary is different from that of the industry. (5 marks)
This is a two tailed test, because what I want to calculate is whether it is equal to, or not equal to x amount. I would call the industry mean o1 and company XYZ o2.
a. State the null and alternative hypotheses.
Null: Ho1 = Ho2: This states that the mean of one is the same as the second.
Alternative: Ho1 ≠ H02: This states that the mean of one is not the same as the second.
b. Suppose a sample of 40 senior managers at XYZ showed a sample mean annual salary of $170,000. Assume a population standard deviation of $30,000. With = .05 as the value of significance, what is your conclusion?

 First, I calculate the test statistic by:
 Sample mean-population mean/ standard dev. x square root of sample
 So, it becomes 170,000-180,000/ 30,000 x 6.32
 I calculate this to be: -0.0527
 Because z< 0, this represents the area in the lower tail
 This means that the area below -0.0527 shows a probability of 0.4801
 Because it is a two tailed test, I would double this and calculate 0.9602.
Using the P-value approach, and the rule of (reject null is p < a), it says I should accept null which is incorrect as the means are obviously different.
 The two tailed rejection rule is to reject null is z <-1.96 or z > 1.96
ic
Using the critical value approach, I can determine that my test statistic is less than 1.96, which is the zvalue for a/2.
Why is it right one way, and not the other?
Click here to see answer by stanbon(75887)

Question 811570: 12 of the 30 students in mrs. smith's class are boys. what percent of the classis made up of girls?
Click here to see answer by stanbon(75887)

Question 811719: An architect is considering bidding for the design of a new theater. The cost of drawing plans and submitting a model is $15,000.The probability of being awarded the bid is 0.2,and anticipated profits are $80,000,resulting in a possible gain of this amount minus the $15,000 cost for plans and models. What is the expected value if the architect decides to bid for the design? Describe what this value means.
Click here to see answer by stanbon(75887)

Question 811698: I have $130 in dimes and quarters. The ratio of dimes to quarters is 5 to 3. How many of each type of coin do I have? Please help. I am confused because it is currency :(
$50 Dimes : $75 Quarters ???
Click here to see answer by stanbon(75887)

Question 811812: I feel like I am missing the smallest step but i cannot get these right!. Help please, and THANK YOU!
{Express the confidence interval 28.7% +/-6.4% in interval form.
Enter in interval notation. Do not enter as a percent}
Click here to see answer by KMST(5328)

Question 811841: How many trials were conducted in a binomial distribution which has a mean of 8 and standard deviation of 2?

Click here to see answer by Edwin McCravy(20054)

Question 812107: Five cards are drawn at random from an ordinary deck of 52 cards. In how many ways is it possible to draw two red aces and two black jacks?
Answer is 48, but why?
Click here to see answer by Edwin McCravy(20054)

Question 812256: An unbiased coin is tossed four times.
Click here to see answer by richwmiller(17219)

Question 812373: two cards drawn in succession from a deck without replacement .what is the probability that both cards are greater than 3 and less than 9?
Click here to see answer by Edwin McCravy(20054)

Question 735733: Grade (in terms of the percentage of correct responses) in Psy 1110 us used to predict nurses' salaries and the regression equation turns out to be
y=1(x)+358
If a nurse gets 80% correct, his/her predicted salary would be?

Click here to see answer by jenbonnett(1)

Question 812737: The probability that a certain kind of flower seed will germinate is 0.8.
If 200 seeds are planted, what is the probability that fewer than 150 will germinate? at least 150 will germinate?
Click here to see answer by stanbon(75887)

Question 812765: Suppose that you flip a coin once. Name two events, A and B that are mutually exclusive?
Click here to see answer by fcabanski(1391)

Question 812783: If you have a 1 in 10 chance of hitting a bullseye what are the chances of hitting two in a row
Click here to see answer by ewatrrr(24785)

Question 812781: In a group of 30 students all study at least one of the subjects Physics and Biology. 20 attend the Physics
class and 21 attend the Biology class. Find the probability that a student chosen at random studies both
Physics and Biology.
Click here to see answer by ewatrrr(24785)

Question 812849: a single card is chosen at random from a standard deck of 52 playing cards.What is the probability of choosing a 5 or king?

Click here to see answer by stanbon(75887)

Question 812852: hi please help : Two letters are chosen, without replacement, from the word attack. Write down
an appropriate sample space.

Click here to see answer by stanbon(75887)

Question 812793: What critical value for z would be used to test the hypotheses: Ho: mean >= 15 versus Ha: mean < 15, for a = 0.01?
Click here to see answer by stanbon(75887)

Question 812907: During February the probability that Fred's car fails to start in the morning is 0.2 and this is unaffected by whether or not it started the previous day. When it fails to start, he walks to work.

(i) What is the probability that Wednesday is the first day of the week (starting on Monday) that he has to walk?
(ii) What is the probability that he drives to work every day from Monday to Friday?
(iii) What is the probability that he drives to work for exactly 4 days in a week?
Click here to see answer by ewatrrr(24785)

Question 812971: Which of the following numbers could be the probability of an event?
1.5, �, 3/4,2/3.0,-1/4

Click here to see answer by ewatrrr(24785)

Question 812986: You want to add 9 more vehicles to the present 12 cars but you want to keep the ratio of 8 cars the same. What proportion can you use to determine how many cars should be in the collection?
Click here to see answer by richwmiller(17219)

Question 813311: If the probability of hitting a target on a single shot is 0.8, what is the probability that in 4 shots you will hit the target two times?
Click here to see answer by ewatrrr(24785)

Question 813316: Over a long period of time a certain drug has been effective in 75% of the cases in which it has been prescribed. If a doctor is now administering this drug to five patients, what is the probability that it will be effective for three of them (P(x=3) )?
Click here to see answer by ewatrrr(24785)

Question 813319: A computer salesman averages 1.5 sales per week. Find the probability that in a randomly selected week the number of computers sold is 0. Show the result
Of the probability calculations and circle one of the multiple choice answers.
A)0.2789
B)0.2454
C)0.2231
D)0.3347
Click here to see answer by ewatrrr(24785)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345