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 976526: Two hundred eighty-five viewers were asked if they were satisfied with TV coverage of a recent disaster.
Gender
Female Male
Satisfied 70 62
Not Satisfied 111 42

Click here to see answer by Fombitz(32388) About Me 

Question 976517: Two hundred eighty viewers were asked if they were satisfied with TV coverage of a recent disaster.
Gender Female Male
Satisfied 81 47
Not Satisfied 117 35
1. Find P(satisfied | female). (Give your answer correct to two decimal places.)
2. Find P(satisfied | male). (Give your answer correct to two decimal places.)

Click here to see answer by Fombitz(32388) About Me 

Question 976038: A lady stenographer claims that she can take dictation at the rate of 118 words per minute can we reject her claim on the basis of 100 trials in which she demonstrates a mean of 116 words and a S.D. of 15 words
Click here to see answer by Fombitz(32388) About Me 

Question 976608: In a series of 5 games to be played between 2 equally matched teams, the first
team to win 3 games becomes the champion. Team A has won the first game. The
probability that team A will be the champion is ?
Is 3/5 incorrect?
Since there are 5 games, Team A won the first game. There are 4 more games left. Two more games till Team A wins or three more games till Team B wins. So obviously the probability of Team A winning is higher than Team B winning.

Click here to see answer by stanbon(75887) About Me 
Question 976608: In a series of 5 games to be played between 2 equally matched teams, the first
team to win 3 games becomes the champion. Team A has won the first game. The
probability that team A will be the champion is ?
Is 3/5 incorrect?
Since there are 5 games, Team A won the first game. There are 4 more games left. Two more games till Team A wins or three more games till Team B wins. So obviously the probability of Team A winning is higher than Team B winning.

Click here to see answer by Fombitz(32388) About Me 

Question 976662: women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute
A.find the percentiles p1 and p99
B. Dr. Puretz sees exactly 25 female patients each day. Find the probability that 25 randomly selected women have a mean pulse rate between 70 and 85 beats/minute

Click here to see answer by FrankM(1040) About Me 

Question 975260: Events A, B, and C are defined on sample space S. Their corresponding sets of sample points do not intersect, and their union is S. Furthermore, event B is twice as likely to occur as event A, and event C is twice as likely to occur as event B. Determine the probability of each of the three events.
Click here to see answer by Fombitz(32388) About Me 

Question 975562: If a random sample of 18 homes south of Center Street in Provo has a mean selling price of $145,375 and a standard deviation of $4575, and a random sample of 25 homes north of Center Street has a mean selling price of $148,300 and a standard deviation of $6000, can you conclude that there is a significant difference between the selling price of homes in these two areas of Provo at the 0.05 level? Assume normality.
(a) Find t. (Give your answer correct to two decimal places.)
(ii) Find the p-value. (Give your answer correct to four decimal places.)
(b) State the appropriate conclusion.
(a)Reject the null hypothesis, there is not significant evidence of a difference in means.
(b)Reject the null hypothesis, there is significant evidence of a difference in means.
(c)Fail to reject the null hypothesis, there is significant evidence of a difference in means.
(d)Fail to reject the null hypothesis, there is not significant evidence of a difference in means.

Click here to see answer by Fombitz(32388) About Me 

Question 975194: In the Department of Education at UR University, student records suggest that the population of students spends an average of 6.50 hours per week playing organized sports. The population's standard deviation is 3.50 hours per week. Based on a sample of 64 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates.

a. Compute the standard error of the sample mean. (Round your answer to 2 decimal places.)

Standard error

b.
What is the chance HLI will find a sample mean between 5.6 and 7.4 hours? (Round z and standard error values to 2 decimal places and final answer to 4 decimal places.)

Chance

c.
Calculate the probability that the sample mean will be between 6.1 and 6.9 hours. (Round z and standard error values to 2 decimal places and final answer to 4 decimal places.)

Probability

Click here to see answer by Fombitz(32388) About Me 

Question 976717: Jerry got a box full of colorful candy balls. There were 50 of them: 20 red, 10 green, 12 yellow and 8 blue. After shaking the box, he randomly selected 2 candy balls from the box. What’s the probability that the first is blue and the second one is also blue?
Click here to see answer by FrankM(1040) About Me 

Question 976714: determine weather ot not the procedure described below results as in a binomial distribution. if it is not binomial, identify at least one requirement that is not satisfied.
five hundred different voters in a region with two major political parties, A and B, are randomly selected from the population of 7500 registered voters. Each is asked if he or she is a member of political party A.
A. Yes, the result is a binomial probability distribution.
B. No, there are more than two possible outcomes
C. No, the probability of success is not the same in all trials
D. No, the trials are not independent and the sample is more than 5% of the population
E. No, the number of trials is not fixed
any idea how to do this and what the outcome will be

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

Question 976722: A researcher tries to compare grades earned on the first quiz by boys and girls. He randomly chooses 10 students from boys and 15 students from girls and calculates the confidence interval on difference between means. How many degrees of freedom will you get in this t distribution?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 976720: Consider a normal distribution with a mean of 10 and standard deviation of 25. What’s the Z score for the value of 35?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 976742: five odd numbers sum is 50??

Click here to see answer by josgarithmetic(39613) About Me 

Question 976804: Assume that the random variable X is normally distributed, with mean 80 and standard deviation 16. Compute the probability P(X<100)
Click here to see answer by stanbon(75887) About Me 

Question 976820: For any data set of n values with standard deviation s, every value must be within of the mean. In a class of 19 students, the heights of the students have a mean of 66.6 inches and a standard deviation of 3.0 inches. The tallest student in class, a hopeful member of the basketball team, claims to be
78.6 inches tall. Could he be telling the truth?

Click here to see answer by rothauserc(4718) About Me 

Question 976719: A normal distribution with a mean of 25 and standard deviation of 5. What is the corresponding Z score for a case having a value of 10?
Click here to see answer by FrankM(1040) About Me 

Question 976394: The average price of a used car is $6500 with a standard deviation of 850. If the prices are approximately normally distributed, find the minimum and maximum prices that includes the middle 75% of these prices.
Click here to see answer by FrankM(1040) About Me 

Question 976042: A young boy is stupidly entering a store. He has a 1/4 probability in buying a drink. 1/5 probability of buying an ice cream bar. There's a 1/10 chance of him buying both. If it is known that he bought at least one of these items, find the probability that he bought both of them.
Click here to see answer by FrankM(1040) About Me 

Question 976920: How many 4 letter "words" from the word PATRIOTS?
(The words are not real words. just groups of 4 letters)

Click here to see answer by Danielshinmath(31) About Me 

Question 976919: How many different four letter "words" from TRIANGLE?
(the words aren't real words. Just groups of 4 letters)

Click here to see answer by Danielshinmath(31) About Me 

Question 976931: I can not figure this out at all. I have tried many other examples and I am no where near the answer. Any help will be greatly appreciated!
Assume that IQ scores are normally distributed, with a standard deviation of 13 points and a mean of 100 points. If 50 people are chosen at random, what is the probability that the sample mean of IQ scores will not differ from the population mean by more than 2 points? (Round your answer to four decimal places.)

Click here to see answer by Boreal(15235) About Me 

Question 976959: --There are 5 red,5 black,5 green balls in a bag.
If 2 balls are drawn at random what is the
probability that at least 1 is green?

Click here to see answer by FrankM(1040) About Me 

Question 977014: A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a diamond or a 7. Please solve, and I did not do well on this question. Thank you.
Click here to see answer by josgarithmetic(39613) About Me 

Question 977013: Find the median for the set of numbers 10,5,24,16,48,40,37. Please solve and solve work. Thank you.
Click here to see answer by stanbon(75887) About Me 

Question 977039: The time required to assemble a piece of machinery is a random variable having
approximately a normal distribution with = 13.2 minutes and = 3.0 minutes. What are
the probabilities that the assembly of a piece of machinery of this kind will take
(i) at least 11.1 minutes
(ii) anywhere from 10.35 to 16.05 minutes?
(iii) at most 15.92 minutes

Click here to see answer by stanbon(75887) About Me 
Question 977039: The time required to assemble a piece of machinery is a random variable having
approximately a normal distribution with = 13.2 minutes and = 3.0 minutes. What are
the probabilities that the assembly of a piece of machinery of this kind will take
(i) at least 11.1 minutes
(ii) anywhere from 10.35 to 16.05 minutes?
(iii) at most 15.92 minutes

Click here to see answer by FrankM(1040) About Me 

Question 977011: Find the probability of the following. A single fair die is rolled. The number on the die is a 3 or a 6. Please solve and show work. thank you.
Click here to see answer by stanbon(75887) About Me 

Question 977012: Find the mean for the set of numbers. 5,6,10,6,12,10 round to the nearest tenth. Please solve and show steps. Thank you.
Click here to see answer by Fombitz(32388) About Me 

Question 976367: The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%) and the sample statistics include n=460 peas with 111 of them having yellow pods.
The value of the test statistic is ___ (round 2 dec places)

Click here to see answer by Fombitz(32388) About Me 

Question 976561: 10 fair coins are tossed,then what is the probability of 3 heads obtained at most?

Click here to see answer by Fombitz(32388) About Me 

Question 977069: Two regular six-sided dice are tossed. Compute the probability of rolling a 12 or doubles.

Click here to see answer by Fombitz(32388) About Me 

Question 977105: A senior stenographer spends 40 hours a month taking dictation, 44% is spent taking dictation for reports, 38% is taking dictation for minutes, the rest is spent taking dictation for letters. How much more time is spent taking dictation for reports than taking dictation for letters?
Click here to see answer by rfer(16322) About Me 

Question 977142: Determine the sample size for the following time study given a standard deviation of four minutes
and a 98% probability that the value of the sample mean is within 1.5 minutes?

Click here to see answer by rothauserc(4718) About Me 

Question 977165: Find the probability of the following. When a single card is drawn from a well-shuffled 52 card deck, find the probability of getting a red card. Please solve with answer, as I do not understand to explain to my child.
Thank you.

Click here to see answer by Cromlix(4381) About Me 

Question 977167: Find the probability of the following. A bag contains 6 marbles, 9 blue marbles, and 4 green marbles. What is the probability of that a randomly selected marble is green? Please solve and show work.
Thank you very much!

Click here to see answer by Cromlix(4381) About Me 

Question 977166: A card is drawn from a deck of 52 cards. What is the probability of getting a black 10 or a black 2. Please solve and show work.
Thank you very much.

Click here to see answer by FrankM(1040) About Me 

Question 977157: A person believes that their spouse is cheating on them. They take note when their spouse comes home late or tired, or is friendly with the opposite sex. They also start to notice times when their spouse is distant or distracted, or when they are simply not feeling talkative. The more the person sees, the more they become convinced that their spouse is in fact cheating on them. However, their spouse is not actually cheating on them. This is an example of a(n)​. (1 pt.)

a) personal probability

b) confirmation bias

c) illusory correlation

d) both A and C

e) both B and C


Click here to see answer by JulietG(1812) About Me 

Question 977154: A researcher is interested in how health information affects students’ liking of the recent ban of smoking on campus here at OSU. In order to study this, the researcher goes out to the Oval and surveys the first 50 students who walk by him. He tells half of the students information about smoking’s negative effects and then asks how they like the ban, and the other half he simply asks how much they like the ban.

5a) The sample in this study is best characterized as a​. (1 pt.)

a) random sample

b) convenience sample

c) generalization sample

d) replication sample

5b) The researcher predicts that students told about smoking’s negative effects will be more likely to like the ban. This is a​(1 pt.)

a) research hypothesis

b) null hypothesis

5c) Given your answer for 5b, how would the hypothesis be worded if it were, instead, the other choice. (2 pts., state your answer in a short, clear sentence)

5d) The researcher finds that health information has no effect on how much students say they like the ban. Therefore, the researcher decides to​. (1 pt.)

a) accept the null hypothesis

b) fail to reject the null hypothesis

c) reject the null hypothesis

5e) Though the researcher did not find any effect of health information on liking of the ban, such information does in fact generally make students like the ban more. This indicates that the

researcher’s result is likely a
. (1 pt.)


a) Type I error

b) Type II error

5f) What sort of error would the researcher make if the reverse were true, and the researcher claimed there was an effect of health information on liking of the ban, but there actually was no effect? (1 pt.)

a) Type I error

b) Type II error


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

Question 977153: Imagine that you are playing pool. Over five days of play, you take 313 shots. 62 of these shots are sunk into a hole, and 13 of them are launched off of the table. For each of the following, report a number rounded to two decimal places and that is not a fraction.

4a) Taking a shot is a(n)​. (1 pt.)

a. trial

b. outcome

c. success

4b) Based on your playing here, what is the probability of sinking a shot? (1 pt.)

4c) Based on your playing here, what is the probability of launching the ball? (1 pt.)

4d) Based on your playing here, what is the probability of missing your shot (ball not sunk into hole) while keeping the ball on the table? (1 pt.)

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

Question 977286: Find the number of subsets of the given set. {green, red, blue, yellow}. Thank you.
Click here to see answer by Alan3354(69443) About Me 

Question 977284: Find the mode or modes for the set of numbers. 7.15, 7.14, 7.56, 7.15, 7.88, 7.99, 7.62. Please solve and explain, as I am not familiar with the term mode. Thank you.
Click here to see answer by Cromlix(4381) About Me 

Question 977312: A wildlife biologist observes four brown bears as they attempt to catch salmon in a river in Alaska. Assume that each bear has a .7 probability of catching a fish and that the bears fishing attempts are independent. Let the random variable X be the number of bears that catch a fish. Create the probability distribution for X (rounding each to THREE decimal places).
Now, find the following probability:
P(X=0)=Answer

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

Question 977304: Question 1: A test has a mean of 30 and a standard deviation of five.
Jackie has scored in the 57th percentile.
Ethan has a T score of 70.
Lan has obtained a z score of –0.2.
Salvatore has received a raw score of 27.
On the basis of the information provided, answer the following questions:
Who has scored the highest?
Who has scored the lowest?
*I am completely lost on this question. Can anyone explain how to do it so I can complete the rest of the problems I have that are similar* Thank You!

Click here to see answer by stanbon(75887) About Me 
Question 977304: Question 1: A test has a mean of 30 and a standard deviation of five.
Jackie has scored in the 57th percentile.
Ethan has a T score of 70.
Lan has obtained a z score of –0.2.
Salvatore has received a raw score of 27.
On the basis of the information provided, answer the following questions:
Who has scored the highest?
Who has scored the lowest?
*I am completely lost on this question. Can anyone explain how to do it so I can complete the rest of the problems I have that are similar* Thank You!

Click here to see answer by solver91311(24713) 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