Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1112837: A designer is creating a store window display from 3 pairs of pants (black, brown, blue); 2 shirts (black and blue); and 3 pairs of shoes (black, brown, blue) that are available to choose from. What is the probability that the outfit consists entirely of the same color if the components are chosen randomly?
Click here to see answer by greenestamps(13195)   |
Question 1112813: A random sample of 140 observations is selected from a binomial population with unknown probability of success p. The computed value of p^ is 0.61.
(1) Test H0:p≤0.65 against Ha:p>0.65. Use α=0.05.
test statistic z= ?
critical z score ?
The decision is
A. There is sufficient evidence to reject the null hypothesis.
B. There is not sufficient evidence to reject the null hypothesis.
(2) Test H0:p≥0.65 against Ha:p<0.65. Use α=0.05.
test statistic z= ?
critical z score ?
The decision is
A. There is not sufficient evidence to reject the null hypothesis.
B. There is sufficient evidence to reject the null hypothesis.
(3) Test H0:p=0.55 against Ha:p≠0.55. Use α=0.01.
test statistic z= ?
positive critical z score ?
negative critical z score ?
The decision is
A. There is not sufficient evidence to reject the null hypothesis.
B. There is sufficient evidence to reject the null hypothesis.
Click here to see answer by rothauserc(4718)  |
Question 1112909: Assume professional volleyball players who are women are at least 6 foot tall. What proportion of the population could even hope to be a professional volleyball player by using these standards? Hint: Find the proportion of women who are at least 6 foot tall.
Click here to see answer by solver91311(24713)  |
Question 1112917: The diameter of a brand of Ping-Pong balls is approximately normally distributed, with a mean of 1.31 inches and a standard deviation of 0.04 inch. A random sample of 4 Ping-Pong balls is selected. What is the probability that the sample is between 1.26 and 1.3 inches?
Click here to see answer by stanbon(75887) |
Question 1112873: In a recent study, the following data was obtained in response to the question, “Do you
favor recycling in your neighborhood?”
Yes No No Opinion
Males 25 15 10
Females 30 10 10
If a person is picked at random, what is the probability that the person is either male or has
no opinion regarding recycling?
could you show me the steps please?
Click here to see answer by ikleyn(52748)  |
Question 1112727: What is the Solution of this question , Please help me to solve this .
A United Nations report shows the mean family income for Mexican migrants to the United States is $27,300 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 20 Mexican family units reveals a mean to be $28,500 with a sample standard deviation of $9,651.
A) State the null hypothesis and the alternate hypothesis.
H0: μ = ?
H1: μ ≠ ?
B) State the decision rule for 0.01 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
Reject H0 if its not between ........ and .........?
C) Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the statistics ?
D) Does this information disagree with the United Nations report? Apply the 0.01 significance level.
REJECT OR DO NOT REJECT H0 . This Data CONTRADİCST OR DOES NOT CONTRADİCT the report.
Click here to see answer by Theo(13342)  |
Question 1112875: An apartment building has the following apartments:
1 bedroom 2 bedroom 3 bedroom
1st floor 3 2 1
2nd floor 0 4 2
3rd floor 1 4 1
If an apartment is selected at random, what is the probability that it is not a 2 bedroom apartment on the 2nd floor?
Click here to see answer by solver91311(24713) |
Question 1112741:
On a Friday night, 26% of the students at a university go out for pizza, 10% see a movie, 26% go to a party, and 38% stay home to study. 24 students are randomly selected. Can the probability that exactly 7 out of these students stay home be computed using a binomial model?
Click here to see answer by solver91311(24713) |
Question 1112991: A vending machine dispenses coffee into a twelve-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.09 ounce. You can allow the cup to overfill 2% of the time. What amount should you set as the mean amount of coffee to be dispensed?
Click here to see answer by Boreal(15235)  |
Question 1112979: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150 lb and 201 lb. The new population of pilots has normally distributed weights with a mean of 159 lb and a standard deviation of 30.2 lb. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 201 lb.
Click here to see answer by Boreal(15235) |
Question 1113003: Can someone help? Thank you.
AAA batteries are sold in pack of 10. An inspector selects two batteries at random without replacement. If both batteries work then the pack is accepted. If one works, then the inspector selects 2 more from the remaining batteries. What is the probability that a pack with 3 defective batteries will be accepted?
Click here to see answer by stanbon(75887) |
Question 1113053: Your lumber company has bought a machine that automatically cuts lumber. The seller of the machine claims that the machine cuts lumber to a mean length of 7 feet (84 inches) with a standard deviation of 0.7 inch. Assume the lengths are normally distributed. You randomly select 45 boards and find that the mean length is 84.15 inches. Complete parts (a) through (c).
(a) Assuming the seller's claim is correct, what is the probability that the mean of the sample is 84.15 inches or more?
Click here to see answer by stanbon(75887) |
Question 1113100: Sam thinks that there is a difference in quality of life between rural and urban living. He collects information from obituaries in newspapers from urban and rural towns in Idaho to see if there is a difference in life expectancy. A sample of 18 people from rural towns give a life expectancy of xr¯=77.6 years with a standard deviation of sr=8.19 years. A sample of 10 people from larger towns give xu¯=71.7 years and su=9.59 years. Does this provide evidence that people living in rural Idaho communities have different life expectancy than those in more urban communities? Use a 1% level of significance. Assume the populations are normal.
(a) State the null and alternative hypotheses: (Type ‘‘mu_r′′ for the symbol μr , e.g. mu_r−mu_u not=0 for the means are not equal, mu_r−mu_u>0 for the rural mean is larger, mu_r−mu_u<0 , for the rural mean is smaller. )
H0 = ?
Ha = ?
Click here to see answer by rothauserc(4718) |
Question 1113105: At least one of the answers above is NOT correct.
(1 point) Samples were collected from two ponds in the Bahamas to compare salinity values (in parts per thousand). Several samples were drawn at each site.
Pond 1: 37.36, 38.85, 37.03, 37.54, 37.32, 37.45, 37.02
Pond 2: 38.24, 38.53, 38.89, 38.51, 40.08
Use a 0.05 significance level to test the claim that the two ponds have the same mean salinity value.
(1.) The test statistic is
-3.436846598.
(2.) The conclusion is
There is sufficient evidence to indicate that the two ponds have different salinity values.
(3.) We should ?
A. remove the largest and smallest values from the larger data set and only test equal size samples.
B. not take the results too seriously since neither sample is big enough to be meaningful.
C. check to see if the data appear close to Normal since the sum of the sample sizes is less than 15.
D. All of the above.
Click here to see answer by Alan3354(69443)  |
Question 1113090: Gestation periods of humans are normally distributed with a mean of 266 days and a standard deviation of 16 days?
1. Find the probability that a random sample of 36 pregnancies has a mean gestation period within 5 days of the mean.
Click here to see answer by stanbon(75887) |
Question 1113098: At one high school, the probability that a student is absent today, given that the student was absent yesterday, is 0.12. The probability that a student is absent today, given that the student was present yesterday, is 0.05. The probability that a student was absent yesterday is 0.1. Draw a tree diagram to represent the situation. What is the probability that a randomly selected student was present yesterday and today?
Click here to see answer by stanbon(75887) |
Question 1113107: Hello! Thank you to anyone who may be taking time out of their day to read this. I am studying Grade 12 Math online, and I am stuck on a few probability questions, (I’ll just post the first one for now to see if I catch on) and I think it’s because of how they are worded. I have noticed on some online forums that other ways to solve probabilities are by using formulas that may look like this for example: p(E)=n(E)/n(S) ...This is more advanced than my current lessons. We have been using graphing calculators to explore theoretical and experimental probabilities, and I understand the difference between the two. This assignment is on Simulation, and the Probability Statistics app on the calculator.
Create a simulation to represent the following situations:
At a horse track, Victory the Horse, has a 40% chance of winning the next 4 races. What is the probability of Victory the Horse winning at least one race?
The issue I am having, is trying to figure out what this question is asking me. Is it asking the probability of the horse winning ALL 4 races? Or once? And I think I am doing something wrong because I am getting the same calculation for both...
So the simulation I did was drawing the numbers 1-10 (numbers 1-4 represent win, 5-10 represent loss) and summoned 4 numbers (one for each race). So, the first simulation of the 4 races, she won 2/4. The second simulation she won 0/4. The third simulation she won 2/4, and so forth. I repeated 25 times until the “horse” ran 100 “races”. It turned out she won 38/100. So, 3.8/10. Is that the answer to the question? Or do I divide that by 25 to result in 1.52/4 chance of winning the 4 races???
Furthermore, if the question is asking about the probability of her winning ALL of them, would I calculate 38/100 *38/100 * 38/100 * 38/100?
I am very stumped. And the following questions are even worse. I’d just feel a lot better if I had some advice. Thank you!!
Click here to see answer by math_helper(2461)  |
Question 1113216: A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n = 10, p = 0.25, x = less than or equal to 4.
Click here to see answer by Boreal(15235) |
Question 1113214: At a local university, 54.3% of incoming first-year students have computers. if 3 students are selected at random, find the following probabilities.
a. None have computers.
b. At least one has a computer.
c.All have computers.
Click here to see answer by Boreal(15235) |
Question 673655: In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.
It is known that 82% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 60 new products, find the following probabilities. (Round your answers to four decimal places.)
(a) within 2 years 47 or more fail
(b) within 2 years 58 or fewer fail
(c) within 2 years 15 or more succeed
(d) within 2 years fewer than 10 succeed
Click here to see answer by Kidbaby11(1) |
Question 1113205: in 1959, a world record was set for the longest run on an ungaffed (fair) roulette wheel at the el san juan hotel in puerto rico. the number 10 appeared six times in a row. what is the probability of the occurrence of this event? (assume that there are 38 equally likely outcomes consisting of the numbers 1-36, 0, and 00))
Click here to see answer by solver91311(24713) |
Question 1113265: A sample of 36 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.
H0: μ ≤ 20
H1: μ > 20
Is this a one- or two-tailed test?
"One-tailed"—the alternate hypothesis is greater than direction.
"Two-tailed"—the alternate hypothesis is different from direction.
What is the decision rule? (Round your answer to 2 decimal places.)
What is the value of the test statistic? (Round your answer to 2 decimal places.)
What is your decision regarding H0?
Reject
Do not reject
Is their (sufficient/insufficient) evidence that the population mean is greater than 20
What is the p-value? (Round your answer to 4 decimal places.)
Click here to see answer by Boreal(15235) |
Question 1113239: 12. A jig-saw puzzle has 20 different pieces and each piece is given away
randomly with purchase of standard meal at a food outlet. A customer
needs just one more piece to complete his puzzle. He buys five
standard meals and looks at all the pieces. Find the probability that
a)He did not get the piece to complete the jigsaw puzzle.
b)He has the required piece exactly once.
c)He gets the piece he requires with the last piece he looks at.
Click here to see answer by Boreal(15235) |
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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, 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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
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