Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1197263: three biased coins C1,C2,C3l ie on the table .Their probabilities of falling heads are 1/3,2/3 and1 respectiely . A coin is picked at random, tossed twice ,and observed to fall heads both times .Calculate the probability that it is C1.
Click here to see answer by math_tutor2020(3816)  |
Question 1197272: The scores on an exam follow a normal distribution with mean 79 and standard deviation 6.5. What is the approximate probability that a randomly selected exam taker had a score below 85.5? Give your answer as a decimal with two digits after the decimal.
Click here to see answer by Theo(13342)  |
Question 1197272: The scores on an exam follow a normal distribution with mean 79 and standard deviation 6.5. What is the approximate probability that a randomly selected exam taker had a score below 85.5? Give your answer as a decimal with two digits after the decimal.
Click here to see answer by ewatrrr(24785)  |
Question 1197295: A gardener has six rows available in his vegetable garden to place tomatoes, eggplants, peppers, cucumbers, beans, and lettuce. Each vegetable will be allowed one and only one row. How many ways are there to position these vegetables in the garden?
Click here to see answer by ikleyn(52754)  |
Question 1197297: the probability that a bombers hit its target on any particular run is 80%. if three bombers send out after the same target , what then is the probability that at least one of the three bombers will hit the target?
Click here to see answer by Theo(13342) |
Question 1197307: Giving a test to a group of students, the table below summarizes the grade earned by gender.
A B C Total
Male 12 18 3 33
Female 9 6 19 34
Total 21 24 22 67
If one student is chosen at random, find the probability that the student was not a female and did not earn grade C. Round your answer to four decimal places.
Click here to see answer by ewatrrr(24785) |
Question 1197307: Giving a test to a group of students, the table below summarizes the grade earned by gender.
A B C Total
Male 12 18 3 33
Female 9 6 19 34
Total 21 24 22 67
If one student is chosen at random, find the probability that the student was not a female and did not earn grade C. Round your answer to four decimal places.
Click here to see answer by Edwin McCravy(20054)  |
Question 1197310: Three hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.
18 - 24 25 - 34 35 - 55 55 and over Total
Liked Crunchicles 39 27 24 42 132
Disliked Crunchicles 28 15 17 30 90
No Preference 16 22 24 16 78
Total 83 64 65 88 300
One consumer from the survey is selected at random. Leave all answers in a reduced fraction.
What is the probability that the consumer is 18 - 24 years of age, given that he/she dislikes Crunchicles?
What is the probability that the selected consumer dislikes Crunchicles?
What is the probability that the selected consumer is 35 - 55 years old or likes Crunchicles?
If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?
Click here to see answer by ewatrrr(24785) |
Question 1197312: Two hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.
18 - 24 25 - 34 35 - 55 55 and over Total
Liked Crunchicles 3 11 7 27 48
Disliked Crunchicles 10 9 3 12 34
No Preference 17 17 11 73 118
Total 30 37 21 112 200
One consumer from the survey is selected at random. Leave all answers in a reduced fraction.
What is the probability that the consumer is 18 - 24 years of age, given that he/she dislikes Crunchicles?
What is the probability that the selected consumer dislikes Crunchicles?
What is the probability that the selected consumer is 35 - 55 years old or likes Crunchicles?
If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?
Click here to see answer by ewatrrr(24785) |
Question 1197312: Two hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.
18 - 24 25 - 34 35 - 55 55 and over Total
Liked Crunchicles 3 11 7 27 48
Disliked Crunchicles 10 9 3 12 34
No Preference 17 17 11 73 118
Total 30 37 21 112 200
One consumer from the survey is selected at random. Leave all answers in a reduced fraction.
What is the probability that the consumer is 18 - 24 years of age, given that he/she dislikes Crunchicles?
What is the probability that the selected consumer dislikes Crunchicles?
What is the probability that the selected consumer is 35 - 55 years old or likes Crunchicles?
If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?
Click here to see answer by math_tutor2020(3816) |
Question 1197313: a quality control engineer inspects a random sample of three batteries from a lot of 30 cars batteries, which are ready to be shipped . if the such a lot contains ten batteries with slight defects, what then is the probability that the inspector's sample contains .
1) none of the batteries with slight defects?
2)at least one of the batteries with slight defects?
Click here to see answer by ewatrrr(24785) |
Question 1197315: hospital record show that 75% of the patient will recover will from a certain disease.
1) what is the probability that 2 out of 6 patient selected at random will die from a certain disease?
2)what is the probability that 4 out of the 6 patient selected at random will recover from a certain disease?
Click here to see answer by ewatrrr(24785) |
Question 1197318: a)A quality control engineer inspects a random sample of three batteries from a lot of 30 car batteries, which are ready to be shipped. If such a lot contains ten batteries with slight defects,
what then is the probability that the inspector's sample contain
i. none of the batteries with slight defects?
i i. at least one of the batteries with slight defects?
B)The probability that a bomber hits its target on any particular run is 80%. If three bombers sent out after the same target, what then is the probability that at least one of the three bombers will hit the target? [Marks -5]
Click here to see answer by ewatrrr(24785) |
Question 1197318: a)A quality control engineer inspects a random sample of three batteries from a lot of 30 car batteries, which are ready to be shipped. If such a lot contains ten batteries with slight defects,
what then is the probability that the inspector's sample contain
i. none of the batteries with slight defects?
i i. at least one of the batteries with slight defects?
B)The probability that a bomber hits its target on any particular run is 80%. If three bombers sent out after the same target, what then is the probability that at least one of the three bombers will hit the target? [Marks -5]
Click here to see answer by ikleyn(52754) |
Question 1197316: b. Hospital records show that 75% of the patients will recover from a certain disease.
i.What is the probability that 2 out of 6 patients selected at random will die from a certain disease?
ii. What is the probability that 4 out of the 5 patients selected at random will recover from a certain disease?
c. Five of 10 new buildings in a city violate the building code. A random sample of three buildings
selected for inspection.
*)What is the probability of none of the buildings violate the building code in a sample of 3 buildings
*)What is the probability of at least one of the new buildings violate the building code in a sample of 3 buildings?
Click here to see answer by ewatrrr(24785) |
Question 1197324: B)The probability that a bomber hits its target on any particular run is 80%. If three bombers sent out after the same target, what then is the probability that at least one of the three bombers will hit the target? [Marks -5]
Click here to see answer by ewatrrr(24785) |
Question 1197325: Five of 10 new buildings in a city violate the building code. A random sample of three buildings
selected for inspection.
a)What is the probability of none of the buildings violate the building code in a sample of 3 buildings
b)What is the probability of at least one of the new buildings violate the building code in a sample of 3 buildings?
Click here to see answer by Boreal(15235)  |
Question 1197325: Five of 10 new buildings in a city violate the building code. A random sample of three buildings
selected for inspection.
a)What is the probability of none of the buildings violate the building code in a sample of 3 buildings
b)What is the probability of at least one of the new buildings violate the building code in a sample of 3 buildings?
Click here to see answer by math_tutor2020(3816) |
Question 1197325: Five of 10 new buildings in a city violate the building code. A random sample of three buildings
selected for inspection.
a)What is the probability of none of the buildings violate the building code in a sample of 3 buildings
b)What is the probability of at least one of the new buildings violate the building code in a sample of 3 buildings?
Click here to see answer by ikleyn(52754) |
Question 1197336: We are given a Data Set with n=10 entries in it. Which one of the following two ways will produce a larger result for the Standard Deviation?
1) If we compute the Standard Devation of this Data Set using the formula for the Population.
2) If we compute the Standard Devation of this Data Set using the formula for Samples.
Can you explain why this way produces a larger result?
Click here to see answer by math_tutor2020(3816) |
Question 1197344: ou want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 73%. You would like to be 90% confident that your estimate is within 4% of the true population proportion. How large of a sample size is required?
Click here to see answer by ewatrrr(24785) |
Question 1197343: Suppose we want to estimate the proportion of teenagers (aged 13-18) who are lactose intolerant. If we want to estimate this proportion to within 3% at the 95% confidence level, how many randomly selected teenagers must we survey?
Click here to see answer by ewatrrr(24785) |
Question 1197342: According to the Oxnard College Student Success Committee report in the previous year, we believe that 24% of students struggle in their classes because they don't spend more than 8 hours studying independently outside of a 4-unit class. For this year, you would like to obtain a new sample to estimate the proportiton of all Oxnard students who struggle in their classes because they don't study enough outside of the classrooms. You would like to be 99% confident that your estimate is within 4% of the true population proportion. How large of a sample size is required? Do not round mid-calculation.
Click here to see answer by ewatrrr(24785) |
Question 1197341: You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 2.5% of the true population proportion. How large of a sample size is required?
Click here to see answer by ewatrrr(24785) |
Question 1197337: In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standard deviation of 4 minutes. For a simple haircut, the middle 90 percent of the customers will require...
a)between 18.4 and 31.6
b)between 19.9 and 30.1
c)between 20.0 and 30.0
d)between 17.2 and 32.8
Click here to see answer by ewatrrr(24785) |
Question 1197346: 6. The time it takes for high school boys to run a mile is distributed
normally with a mean of 460 seconds and a standard deviation of 40 seconds.(3 points)
a. What percentage of high school boys can run a mile in faster than 400 seconds?
Click here to see answer by ewatrrr(24785) |
Question 1197346: 6. The time it takes for high school boys to run a mile is distributed
normally with a mean of 460 seconds and a standard deviation of 40 seconds.(3 points)
a. What percentage of high school boys can run a mile in faster than 400 seconds?
Click here to see answer by ikleyn(52754) |
Question 1197348: Suppose that a box contains 7 cameras and that 5 of them are defective. A sample of 2 cameras is selected at random, with replacement. Define the random variable
X as the number of defective cameras in the sample.
Write the probability distribution for X.
(Here there is a table on the left side it says 'k' and on the right side it says 'P(X=k)'.) There are three values on each side: on the left side there is '0,1,2' and on the right side there are 3 blank spots. Please find P(x=k).
What is the expected value of X?
Click here to see answer by ikleyn(52754) |
Question 1197347: Suppose that a box contains 7 cameras and that 5 of them are defective. A sample of 2 cameras is selected at random, with replacement. Define the random variable
X as the number of defective cameras in the sample.
Write the probability distribution for X.
(Here there is a table on the left side it says 'k' and on the right side it says 'P(X=k)'.) There are three values on each side: on the left side there is '0,1,2' and on the right side there are 3 blank spots. Please find P(x=k).
What is the expected value of X?
Click here to see answer by ikleyn(52754) |
Question 1197368: It takes on average, 70 minutes with a standard deviation of 10 minutes to assemble a computer. Assume that the assembly time is normally distributed, what is the probability that a given computer will take between 65 and 85 minutes to be assembled
Click here to see answer by ikleyn(52754) |
Question 1197362: Please i need help with this question, i have tried the permutation rule and also some of the probability rules but i seem not to be getting the answer. Thanks.
In Canada, voters who choose which candidate to vote for based on the candidate's stance on issues rather than their political party affiliation are called Independent voters. It is believed that 8% of voters are Independent. A survey asked 40 people to identify themselves based on whether they vote by party, or are Independent.
A. What is the probability that none of the voters surveyed are Independent?
B. What is the probability that less than 4 are Independent?
C. What is the probability that more than 2 are Independent?
Click here to see answer by ikleyn(52754) |
Question 1197385: An ant moves on the following lattice, beginning at the dot labeled $A$. Each minute he moves to one of the dots neighboring the dot he was at, choosing from among its neighbors at random. What is the probability that after $5$ minutes he is at the dot labeled $B$? Image is attached below.
Click here to see answer by lotusjayden(18) |
Question 1197385: An ant moves on the following lattice, beginning at the dot labeled $A$. Each minute he moves to one of the dots neighboring the dot he was at, choosing from among its neighbors at random. What is the probability that after $5$ minutes he is at the dot labeled $B$? Image is attached below.
Click here to see answer by ikleyn(52754) |
Question 1197385: An ant moves on the following lattice, beginning at the dot labeled $A$. Each minute he moves to one of the dots neighboring the dot he was at, choosing from among its neighbors at random. What is the probability that after $5$ minutes he is at the dot labeled $B$? Image is attached below.
Click here to see answer by greenestamps(13195)  |
Question 1197365: The number of chocolate chips in an 18-ounce bag of a particular brand of chocolate chip cookies is normally distributed with mean 1,173 chips and standard deviation 115 chips.
Calculate the 30th percentile of the number of chocolate chips in an 18-ounce bag of these chocolate chip cookies. Give your answer as a decimal rounded to two digits after the decimal.
Click here to see answer by math_tutor2020(3816) |
Question 1197391: The line width of a tool used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer.
(a) What is the probability that a line width is greater than
0.62 micrometer?
(b) What is the probability that a line width is between 0.47 and 0.63 micrometer?
。
(c) The line width of 90% of samples is below what value?
Click here to see answer by ewatrrr(24785) |
Question 1197392: A customer-service supervisor regularly conducts a survey of customer satisfaction. The results of the latest survey indicate that 8% of customers were not satisfied with the service they received at their last visit to the store. Of those who are not satisfied, only 22% return to the store within a year. Of those who are satisfied, 64% return within a year. A customer has just entered the store. In response to your question, he informs you that it is less than 1 year since his last visit to the store. What is the probability that he was satisfied with the service he received?
Click here to see answer by ikleyn(52754) |
Question 1197392: A customer-service supervisor regularly conducts a survey of customer satisfaction. The results of the latest survey indicate that 8% of customers were not satisfied with the service they received at their last visit to the store. Of those who are not satisfied, only 22% return to the store within a year. Of those who are satisfied, 64% return within a year. A customer has just entered the store. In response to your question, he informs you that it is less than 1 year since his last visit to the store. What is the probability that he was satisfied with the service he received?
Click here to see answer by ewatrrr(24785) |
Question 1197340: SAT scores are distributed with a mean of 1,500 and a standard deviation of 307. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your confidence interval to 30 points with 85 percent confidence, how many students should you sample? (Round up to a whole number of students.)
Click here to see answer by Theo(13342) |
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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, 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