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 629942: an executive committee consists of 11 members: 4 men and 7 women. 3 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What is the probability that all 3 selected are women?
Click here to see answer by ewatrrr(24785) About Me 

Question 630026: Classify the following variable as nominal, ordinal, discrete, or continuous and state why it is such a variable:
your name

Click here to see answer by Theo(13342) About Me 

Question 630033: Izza has a number cube with sides labeled 1 through 6. What is the likelihood that she rolls three 5's in a row?
Click here to see answer by stanbon(75887) About Me 

Question 630029: Classify the following variable as nominal, ordinal, discrete, or continuous and state why it is such a variable:
your name

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

Question 630028: Help.
Classify the following as an example of a nominal, ordinal, interval, or ratio level of measurement, and state why it represents this level:
marital status of a company’s employees

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

Question 630027: Classify the following as an example of a nominal, ordinal, interval, or ratio level of measurement, and state why it represents this level:
marital status of a company’s employees

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

Question 630025: Construct a grouped frequency distribution for the following 28 scores using a class width of 4:
79 64 77 69 82 73 85 74 76 81 86 74 87 84
77 73 71 75 86 76 72 76 70 72 76 67 70 67

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

Question 630030: I am lost.
Construct a grouped frequency distribution for the following 28 scores using a class width of 4:
79 64 77 69 82 73 85 74 76 81 86 74 87 84
77 73 71 75 86 76 72 76 70 72 76 67 70 67

Click here to see answer by Theo(13342) About Me 

Question 630051: A fair coin tossed 64 times. Find the probability of getting 32 to 40 heads inclusive
Click here to see answer by ewatrrr(24785) About Me 
Question 630051: A fair coin tossed 64 times. Find the probability of getting 32 to 40 heads inclusive
Click here to see answer by Theo(13342) About Me 
Question 630051: A fair coin tossed 64 times. Find the probability of getting 32 to 40 heads inclusive
Click here to see answer by AnlytcPhil(1806) About Me 

Question 630067: Let be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places.
P(z > 1.73) = ?
P(1.09 < Z < 2.17)= ?

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

Question 630065: Consider a t distribution with 22 degrees of freedom. Compute P(t>= 1.44). Round your answer to at least three decimal places.
Consider a t distribution with 25 degrees of freedom. Find the value of C such that P(-c Please help! I am soooo lost!

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

Question 630068: A worldwide organization of academics claims that the mean IQ score of its members is 112, with a standard deviation of 15. A randomly selected group of 35 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 117.2. If the organization's claim is correct, what is the probability of having a sample mean of 117.2 or less for a random sample of this size?
Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

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

Question 630063: A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage,u , of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample.
Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 90% confident that its estimate is within 175 miles per month of u?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).

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

Question 630006: The average monthly mortage payment including principal and interest is $982 in the United states. If the standard deviation is approximately $180 and the mortage payments are approximately normally distributed, find the probability that a randomly selected monthly payment is
a. more than $1000
b. More that $1475
c. between $800 and $1150

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

Question 630084: Please help me with this problem.
I have 7 chocolate and 5 vanilla candies in a bag and 3 pieces are taken out. What is the probability that 1 is chocolate and 2 are vanilla. Thank you for your help in advance.

Click here to see answer by AnlytcPhil(1806) About Me 

Question 630178: Can someone please assit me with this? I am not getting this at all.
An April 2004 article on Hear The Issues.com stated that Americans have an average of 2.24 televisions per household (source: Nielsen Media Research). If the standard deviation for the number of televisions in a U.S. household is 1.2 and a random sample of 80 American households is selected, the mean of this sample belongs to a sampling distribution.
- What is the mean and standard deviation of this sampling distribution?

Click here to see answer by Theo(13342) About Me 

Question 630248: Can someone kindly tell me if my answer is correct?
Thank you.
A research center estimates that at least 35% of U.S. adults eat breakfast every day. In a random sample of 300 U.S. adults, 38% say they eat breakfast every day. At α = 0.05, conclude a hypothesis test for the population proportion, p.
My answer for Z = 1.09

Fail to reject the claim because there is not enough evidence to reject the claim.

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

Question 630222: A committee of 4 women and 3 men need to select a chair person and a secretary. If every person is equally likely to be chosen, what is the probability that :
a) both positions are filled by women?
b) both positions are filled by men?
c) the chairperson is female and the secretary is male?

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

Question 630275: How many different teams of 2 people each can Joshua select from a group of 5 people?
please include explanations!

Click here to see answer by rapaljer(4671) About Me 

Question 630243: Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon whether they have been raised primarily by their father or by both their mother and their father. Two variables are found below in the data file: math (0 = no advanced math and 1 = some advanced math) and Parent (1= primarily father and 2 = father and mother).
Parent Math
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
2.0 0.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
a) Conduct a crosstabs analysis to examine the proportion of female high school students who take advanced math courses is different for different levels of the parent variable.
b) What percent female students took advanced math class
c) What percent of female students did not take advanced math class when females were raised by just their father?
d) What are the Chi-square results? What are the expected and the observed results that were found? Are they results of the Chi-Square significant? What do the results mean?
e) What were your null and alternative hypotheses? Did the results lead you to reject or fail to reject the null and why?

Click here to see answer by lynnlo(4176) About Me 

Question 630293: A flower vase contains 3 white flowers,4 blue flowers, 2 yellow flowers,and 6 red flowers.If one is randomly picked,what is the probabily that it will be white?
Click here to see answer by ewatrrr(24785) About Me 

Question 630317: I don't know what a theoretical probability is. The question is: Megan rolls a number cube whose faces are labeled 7 through 12. Find the probability of P(even) and write it as a fraction. Please help me.
Click here to see answer by ewatrrr(24785) About Me 

Question 629222: In a certain town, 38.6% of voters are Democrats, 57.1% of the voters are
Republican, and 4.3% of the voters are Independents. In the last election,
43.1% of the Democrats, 40.7% of the Republicans, and 51.7% of the Independents
voted. If a citizen who voted in the last election is randomly selected, what is
the probability that they are a democrat?
Any help would be great! i'm so lost thank you!

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

Question 630474: The San Diego Union Tribune reported student loan default rates for private, for-profit colleges in San Diego County (July 10, 2012). One university in particular, Bridgepoint, had a 15.3 percent loan-default rate.
Suppose 10 Bridgepoint students with student loans are sampled. What is the standard deviation of the distribution of the number of students who will default on these loans?
Answer
.1530
.1877
1.1384
1.2369
1.2959
1.530
1.6794

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

Question 630574: A bag contains 8 white and 2 red marbles. A marble is removed at random, its color is noted and it is replaced back into the bag.
The experiment is repeated 5 times in all.
Describe the distribution followed by the number of red marbles removed.

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

Question 630558: Help,
In your own line of work, give one example of a discrete
and one example of a continuous random variable, and describe why each is continuous or discrete.

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

Question 630473: I am looking for help regarding this problem please.
A mail order company has an 8% success rate. If it mails advertisements to 600 people, find the probability of getting less than 40 sales.

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

Question 630463: I am having a difficult time with this problem.
With 71.1% of a town's population made up of college students, what is the probability that in a random sample of 150 people from the town, more than 50 are not college students?

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

Question 630356: If X is a normal random variable with standard deviation 3.50, and if the probability that X is more than 12.33 is .1271, then what is the mean of X?
Click here to see answer by stanbon(75887) About Me 

Question 630594: A researcher wanted to see which candidate you would vote for. What level of significance would she use in testing?
Click here to see answer by richard1234(7193) About Me 

Question 629648: Estimate the probability of getting a baby girl in at least 8 of 15 births.
Click here to see answer by richard1234(7193) About Me 

Question 630570: A biased six-sided die has one face bearing number 3, two faces number 2 and three faces number 1. A boy tosses the die once and observes the number on the uppermost face. He then tosses a number of fair coins equal to the number shown on the die. The random variable X is the number of heads obtained.
Construct the probability density function of X.

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

Question 630623: How many different ways can 4 women and 7 men be selected from
11 married couples (assuming no gay marriages).

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

Question 630640: A sample of data has a standard deviation of 10. If you were to multiply all of the scores in the data set by factor of nine (9), what would the new standard deviation be?

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

Question 630638: A regression analysis between sales (Y) and advertising (X) (both in dollars) resulted in the following equation:
= 100 + 2000X
The above equation implies that an
Answer
A. increase of $1 in advertising is correlated with an increase of $2,000 in sales.
B. increase of $1 in advertising is correlated with an increase of $2 in sales.
C. increase of $1 in advertising is correlated with an increase of $100 in sales.
D. increase of $1 in advertising is correlated with an increase of $2100 in sales.

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

Question 630750: There are 2 roads from City A to City B and 4 roads from City B to City C. How many different routes are there from City A to City C, passing through City B?
Click here to see answer by stanbon(75887) About Me 

Question 630712: It is determined that the 100 subjects have a sample mean serum cholesterol level of 217 and the sample standard deviation is 39. If the desirable serum cholesterol level is set at 200, would you have concerns about elevated serum cholesterol level in this sample? Use a = .05
Click here to see answer by stanbon(75887) About Me 

Question 630710: A researcher wanted to determine whether a program for routine cholesterol screening for college men
would identify high serum cholesterol levels. The researcher decided that above 200 would be high. Twenty
students were randomly selected for cholesterol screening, and the results were given below. Is there any
evidence that asymptomatic college men have elevated serum cholesterol values? Would a large-scale screening program be warranted? Use a = 0.05
160 210 200 230 210 150 220 190 210 220
160 220 240 180 200 200 210 170 180 220

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

Question 630763: An automobile assembly line operation has a scheduled mean completion time,u, of 13.7 minutes. The standard deviation of completion times is 1.7 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 19 completion times under new management was taken. The sample had a mean of 13.4 minutes. Assume that the population is normally distributed. Can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed.
Perform a one-tailed test.
Null hypothesis: ?
Alternative hypothesis: ?
Type of test statistic: ?
The value of the test statistic: ?
The p-value: ?
Can we support the claim that the mean completion time has decreased under new management?

Click here to see answer by reviewermath(1029) About Me 
Question 630763: An automobile assembly line operation has a scheduled mean completion time,u, of 13.7 minutes. The standard deviation of completion times is 1.7 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 19 completion times under new management was taken. The sample had a mean of 13.4 minutes. Assume that the population is normally distributed. Can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed.
Perform a one-tailed test.
Null hypothesis: ?
Alternative hypothesis: ?
Type of test statistic: ?
The value of the test statistic: ?
The p-value: ?
Can we support the claim that the mean completion time has decreased under new management?

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

Question 630702: An estimate of the population mean based on a large sample is less reliable than an estimate made using a small sample. true/false
Click here to see answer by stanbon(75887) About Me 

Question 630769: Each month the National Association of Purchasing Managers publishes the NAPM index. One of the questions asked on the survey to purchasing agents is: Do you think the economy is contracting? Last month, of the 300 responses, 160 answered yes to the question. This month, 170 of the 290 responses indicated they felt the economy was contracting.At the .05 significance level, can we conclude that a larger proportion of the agents believe the economy is contracting this month?
Click here to see answer by reviewermath(1029) About Me 

Question 630770: As part of a study of corporate employees, the director of human resources for PNC, Inc. wants to compare the distance traveled to work by employees at its office in downtown Cincinnati with the distance for those in downtown Pittsburgh. A sample of 35 Cincinnati employees showed they travel a mean of 370 miles per month. A sample of 40 Pittsburgh employees showed they travel a mean of 380 miles per month. The population standard deviation for the Cincinnati and Pittsburgh employees are 30 and 26 miles, respectively. At the .05 significance level, is there a difference in the mean number of miles traveled per month between Cincinnati and Pittsburgh employees?
(1)Is this a one-tailed or a two-tailed test?
(2)State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.)
The decision rule is to reject H0:µC = µP if z is (Click to select)outside inside the interval (, )

Click here to see answer by richwmiller(17219) 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