Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1174438: The mean lifetime of a printer is 48 months, with a standard deviation of 7 months. If the distribution of the printer lifetime is normal, for how many months should a guarantee be made if the manufacturer does not want to exchange more than 10% of the watches? Assume the variable is normally distributed. (Round up whatever you get for the number of months the guarantee should be given for.)
Click here to see answer by ewatrrr(24785)   |
Question 1174437: Assume someone gives you all the answers for an exam, but he/she does not tell you which answers correspond to which questions on the exam. Unfortunately your last 3 months were just too busy to study for the exam and hence, to be able to conclude which answer goes where. If the exam has 6 questions, what are your chances to have exactly 4 answers correct, if you choose answers on random from the 6 you received and set them as answers to 1st, 2nd, 3rd , 4th, 5th and 6th question. (Give the probability in the form of a decimal number with 4 decimals (example: 0.1234)! )
Click here to see answer by ikleyn(52778)  |
Question 1174429: Assume someone gives you all the answers for an exam, but he/she does not tell you which answers correspond to which questions on the exam. If the exam has 6 questions, what are your chances to have 5 answers correct, if you choose answers on random from the 6 you received and set them as answers to 1st, 2nd, 3rd , 4th, 5th and 6th question. (Give the probability in the form of a decimal number with 5 decimals (example: 0.12345) or as a fraction a/b !)
Thank you
Click here to see answer by ewatrrr(24785) |
Question 1174434: You are a system administrator for a company that runs all their business on three workstations. The first workstation (WS1) operates on 16 TB RAM, second on 8 TB and the third on 12 TB. If the probability that a job is assigned to a specific workstation is proportional to the size of its RAM, what is the expected number of jobs assigned to WS2 out of 72 jobs that arrive? (Give only the expected number of jobs as an answer, no text)
Click here to see answer by ikleyn(52778) |
Question 1174430: You are in charge of forming a parliamentary investigative body in B&H Parliament. Of course since it is Bosnia and Herzegovina’s parliamentary body, we need to allow representation of all three Bosnian national groups (we will leave the Sejdic-Finci ruling and its implications aside for this example). The body needs to have 7 members and all three nations have to be represented by at least 2 members.
Click here to see answer by ikleyn(52778) |
Question 1174428: Assume someone gives you all the correct answers for an exam, but he/she does not tell you which answers correspond to which questions on the exam. Unfortunately your last 3 months were just too busy to study for the exam and you decide to guess. If the exam has 6 questions, what are your chances to have all answers correct if you choose answers on random from the 6 you received and set them as answers to 1st, 2nd, 3rd , 4th, 5th and 6th question. (Give the probability in the form of a decimal number with 5 decimals (example: 0.123345) or as a fraction a/b !)
Click here to see answer by ikleyn(52778) |
Question 1174439: A smart TV uses 120 watts of electricity per hour based on 7 hours of use per day. Assume
the amount of electricity used measured is approximately normally distributed and the standard deviation is 8. If 350 smart TV's are taken from the production line and tested, approximately how many will use more than 130 watts of power? (If you get a non-integer, round up and write that as the answer!)
Click here to see answer by ewatrrr(24785) |
Question 1174422: You are a system administrator for a company that runs all their business on three workstations. The first workstation (WS1) operates on 16 TB RAM, second on 8 TB and the third on 12 TB. If the probability that a job is assigned to a specific workstation is proportional to the size of its RAM, what is the expected number of jobs assigned to WS2 out of 72 jobs that arrive? (Give only the expected number of jobs as an answer, no text)
Thank you
Click here to see answer by ikleyn(52778) |
Question 1174442: Assume that females have pulse rates that are normally distributed with a mean of beats per minute and a standard deviation of beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than beats per minute.
The probability is 0.6255.
I found this answer through StatCrunch I don't know how to do the next Part.
(Round to four decimal places as needed.)
b. If adult females are randomly selected, find the probability that they have pulse rates with a mean less than beats per minute.
Click here to see answer by ewatrrr(24785) |
Question 1174421: The mean lifetime of a printer is 48 months, with a standard deviation of 7 months. If the distribution of the printer lifetime is normal, for how many months should a guarantee be made if the manufacturer does not want to exchange more than 10% of the watches? Assume the variable is normally distributed. (Round up whatever you get for the number of months the guarantee should be given for.)
Thank you
Click here to see answer by ewatrrr(24785) |
Question 1174460: . In a certain city, sports bikes are being targeted by thieves. Assume that the probability of a sports bike being stolen is 0.09 while the probability is only 0.5 for a regular bike. Taking, as an approximation for all bikes in that area, the nationwide proportion 0.19 of sports bikes, find the probability that a stolen bike is a sports bike.
Select one:
a. 0.04
b. 0.02
c. 0.01
d. 0.03
Click here to see answer by VFBundy(438)  |
Question 1174420: A smart TV uses 120 watts of electricity per hour based on 7 hours of use per day. Assume the amount of electricity used measured is approximately normally distributed and the standard deviation is 8. If 250 smart TV's are taken from the production line and tested, approximately how many will use more than 130 watts of power? (If you get a non-integer, round it up and write that as the answer)
Click here to see answer by Alan3354(69443)  |
Question 1174440: n a complete graph with 12 nodes you choose the color for the edges in a following manner: You toss a coin for each edge. If the coin shows heads, you toss a three sided fair die. If the die shows 1 you color the edge blue, if the die shows 2 you color the edge yellow and in case the die shows 3 you color the edge green. In case the coin shows tails, you toss a three sided fair die also. This time, if the die shows 1 or 2 the edge is colored yellow, while if it shows 3 the edge is colored red. Given that you just colored the edge yellow, find the probability that the coin toss resulted in “heads”? (Give the probability in the form of a fraction (example: 4/5)! )
Click here to see answer by greenestamps(13200)  |
Question 1174431: The mean lifetime of a printer is 48 months, with a standard deviation of 7 months. If the distribution of the printer lifetime is normal, for how many months should a guarantee be made if the manufacturer does not want to exchange more than 10% of the watches? Assume the variable is normally distributed. (Round up whatever you get for the number of months the guarantee should be given for.)
Click here to see answer by greenestamps(13200) |
Question 1174432: In a complete graph with 12 nodes you choose the color for the edges in a following manner: You toss a coin for each edge. If the coin shows heads, you toss a three sided fair die. If the die shows 1 you color the edge blue, if the die shows 2 you color the edge yellow and in case the die shows 3 you color the edge green. In case the coin shows tails, you toss a three sided fair die also. This time, if the die shows 1 or 2 the edge is colored yellow, while if it shows 3 the edge is colored red. What is the expected number of edges colored red or blue with this strategy? (give only the expected number of edges as an answer, no text)
Click here to see answer by greenestamps(13200) |
Question 1174426: Suppose you and I take turns in rolling a die, to see who can first roll a 4. Suppose you roll first, then I roll, then you roll and so on until one of us has rolled a four. What is the chance that you roll a four? (Give the probability in the form of a fraction (example: 4/5)!
Click here to see answer by greenestamps(13200) |
Question 1174465: QUESTION
• Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an individual that reads 58.3 word per minute. You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 100 words per minute and a standard deviation of 23 words per minute.
• At what percentile is the child's reading level (round final answer to one decimal place).
• Create a graph with a normal curve that illustrates the problem.
For the graph do NOT make an empirical rule graph, just include the mean and the mark off the area that corresponds to the student's percentile. There is a Normal Distribution Graph generator linked in the resources area. Upload file containing your graph below.
• Make an argument to the parents of the child for the need for remediation. Structure your essay as follows:
A basic explanation of the normal distribution
Why the normal distribution might apply to this situation
Describe the specific normal distribution for this situation (give the mean and standard deviation)
Interpret the answer to part a. including a definition of percentile.
Explain how the graph created in part b. represents the child's reading level.
Use the answers to parts a. and b. to emphasize the gravity of the situation.
Give a suggested course of action.
Click here to see answer by ewatrrr(24785) |
Question 1174469: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing two red marbles, four green ones, three white ones, and two purple ones. She grabs six of them. Find the probability of the following event, expressing it as a fraction in lowest terms.
She does not have all the red ones.
Click here to see answer by ikleyn(52778) |
Question 1174425: Adenine (A), cytosine (C), thymine (T) and guanine (G) are four main nucleobases found in nucleic acid DNA. DNA has a familiar double helix structure and technologies that sequence DNA first separate the double helix into 2 single sequences (chains), then “read” a single sequence using different strategies. We have 3 locations on one of the single chains of {A, C, T, G}. First one is made up of 3 nucleobases, second one is made up out of 4 and the third one is of length 2 (made up of two nucleobases). If repetitions are allowed within a single location (for example, at the first location, you can’t have AAA or TAT etc. ) how many different DNA sequences can we make, if we concatenate (put first, second, and third location consecutively next to each other) the three locations. (HINT1: Take a look at visualization of the concepts “location”, “length” etc. beneath. HINT2: Sequences are different if the order and/or content of nucleobases is different between them. )
DNA sequence of length 22 with a dummy nucleobase N (any N can be exchanged by some A,C, T or G):
N N N (N N N) N N (N N N N) N N N (N N) N N N N N
N’s in parenthesis are 3 locations, first, second and third respectively from left to right. Within a single location you can have repetitions of nucleobases. We are interested in the number of different length 9 sequences that we can make by concatenating the three locations.
(Please just write the final number that you calculate no words, no expressions, just the final result which is to be a positive integer!)
Click here to see answer by ikleyn(52778) |
Question 1174466: Suppose that you are working for a chain restaurant and wish to design a promotion to disabuse the public of notions that the service is slow. You decide to institute a policy that any customer that waits too long will receive their meal for free. You know that the wait times for customers are normally distributed with a mean of 16 minutes and a standard deviation of 3.3 minutes. Use statistics to decide the maximum wait time you would advertise to customers so that you only give away free meals to at most 1% of the customers.
• Determine an estimate of an advertised maximum wait time so that 1% of the customers would receive a free meal. Round to one decimal place minutes
• Include a graph illustrating the solution. For the graph do NOT make an empirical rule graph, just include the mean and the mark off the area that corresponds to the 1% who would receive the refund. There is a Normal Distribution Graph generator linked in the resources area. Combine the above into as single file and upload using the link below
• Write a response to the vice president explaining your prescribed maximum wait time. Structure your essay as follows:
An advanced explanation of the normal distribution
Why the normal distribution might apply to this situation
Describe the specific normal distribution for this situation (give the mean and standard deviation)
Explain how the graph created in part b. represents the waiting times of the customers.
Explain the answer to part a. in terms of both the customers who get a free meal and those who do not. Feel free to use the accurate answer in part a to determine a "nice" wait time to be used in the actual advertising campaign.
Use the answers to parts a. and b. to explain how the proposal will not result in a loss of profit for the company.
Click here to see answer by ewatrrr(24785) |
Question 1174463: Question 1.
• Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an individual that reads 58.3 word per minute. You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 100 words per minute and a standard deviation of 23 words per minute.
• At what percentile is the child's reading level (round final answer to one decimal place).
• Create a graph with a normal curve that illustrates the problem.
For the graph do NOT make an empirical rule graph, just include the mean and the mark off the area that corresponds to the student's percentile. There is a Normal Distribution Graph generator linked in the resources area. Upload file containing your graph below.
• Make an argument to the parents of the child for the need for remediation. Structure your essay as follows:
A basic explanation of the normal distribution
Why the normal distribution might apply to this situation
Describe the specific normal distribution for this situation (give the mean and standard deviation)
Interpret the answer to part a. including a definition of percentile.
Explain how the graph created in part b. represents the child's reading level.
Use the answers to parts a. and b. to emphasize the gravity of the situation.
Give a suggested course of action.
QUESTION 2
Suppose that you are working for a chain restaurant and wish to design a promotion to disabuse the public of notions that the service is slow. You decide to institute a policy that any customer that waits too long will receive their meal for free. You know that the wait times for customers are normally distributed with a mean of 16 minutes and a standard deviation of 3.3 minutes. Use statistics to decide the maximum wait time you would advertise to customers so that you only give away free meals to at most 1% of the customers.
• Determine an estimate of an advertised maximum wait time so that 1% of the customers would receive a free meal. Round to one decimal place minutes
• Include a graph illustrating the solution. For the graph do NOT make an empirical rule graph, just include the mean and the mark off the area that corresponds to the 1% who would receive the refund. There is a Normal Distribution Graph generator linked in the resources area. Combine the above into as single file and upload using the link below
• Write a response to the vice president explaining your prescribed maximum wait time. Structure your essay as follows:
An advanced explanation of the normal distribution
Why the normal distribution might apply to this situation
Describe the specific normal distribution for this situation (give the mean and standard deviation)
Explain how the graph created in part b. represents the waiting times of the customers.
Explain the answer to part a. in terms of both the customers who get a free meal and those who do not. Feel free to use the accurate answer in part a to determine a "nice" wait time to be used in the actual advertising campaign.
Use the answers to parts a. and b. to explain how the proposal will not result in a loss of profit for the company.
Click here to see answer by ewatrrr(24785) |
Question 1174459: A special-interest group has conducted a survey concerning a ban on hand guns. Note: A rifle is a gun, but it is not a hand gun. The survey yielded the following results for the 1000 households that responded.
271 own a hand gun.
447 own a rifle.
497 supported the ban on hand guns.
142 own both a hand gun and a rifle.
206 own a rifle but no hand gun and do not support the ban on hand guns.
74 own a hand gun and support the ban on hand guns.
50 own both a hand gun and a rifle and also support the ban on hand guns.
How many of the surveyed households:
(a) only own a hand gun and do not support the ban on hand guns?
(b) do not own a gun and support the ban on hand guns?
(c) do not own a gun and do not support the ban on hand guns?
Click here to see answer by ewatrrr(24785) |
Question 1174474: Let V be a vector space with dimension 11 and S be a subset of V which is linearly independent and has 10 vectors. Consider the following statements:
(a) Every non-empty subset of S is linearly independent.
(b) S is a basis of V.
(c) There exists a subset S1 of S which is linearly dependent.
(d) Dimension of span(S) < dimension of V.
Which of the above statements is/are False?
Click here to see answer by ikleyn(52778) |
Question 1091019: In one study, researchers at a clinic looked at more than 120,000 patients enrolled in 14 international studies in the past 10 years. Among the patients with heart problems, researchers found at least one risk factor in 84.6% of the women and 80.6% of the men.
If a woman is selected at random from the women with heart problems, what is the probability she has none of the risk factors?
Click here to see answer by penias2221(1) |
Question 1091019: In one study, researchers at a clinic looked at more than 120,000 patients enrolled in 14 international studies in the past 10 years. Among the patients with heart problems, researchers found at least one risk factor in 84.6% of the women and 80.6% of the men.
If a woman is selected at random from the women with heart problems, what is the probability she has none of the risk factors?
Click here to see answer by ikleyn(52778) |
Question 1174515: Urgent help needed. please help!!
NOTE: Answers using z-scores rounded to 3 (or more) decimal places will work for this problem.
The population of weights for men attending a local health club is normally distributed with a mean of 169-lbs and a standard deviation of 30-lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6370-lbs.
Assume that there are 35 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded?
average weight =
lbs
What is the probability that one randomly selected male health club member will exceed this weight?
P(one man exceeds) =
(Report answer accurate to 4 decimal places.)
If we assume that 35 male occupants in the elevator are the result of a random selection, find the probability that the evelator will be overloaded?
P(elevator overloaded) =
(Report answer accurate to 4 decimal places.)
If the evelator is full (on average) 6 times a day, how many times will the evelator be overloaded in one (non-leap) year?
number of times overloaded =
(Report answer rounded to the nearest whole number.)
Is there reason for concern?
no, the current overload limit is adequate to insure the safety of the passengers
yes, the current overload limit is not adequate to insure the safey of the passengers
Click here to see answer by Boreal(15235)  |
Question 1174545: Can you explain this problem to me?
EXAMPLE 4: Suppose a pair of dice are rolled. What is the expected value of the random variable which assigns to each element in the sample space the sum of the dice?
I understand the range of (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
I don't understand how they got the following:
Px(2)= P (x=2) = 1/36
Px(3)= P (x=3) = 2/36
Px(8)= P (x=8) = 5/36
Px(9)= P (x=9) = 4/36
Click here to see answer by ikleyn(52778) |
Question 1174545: Can you explain this problem to me?
EXAMPLE 4: Suppose a pair of dice are rolled. What is the expected value of the random variable which assigns to each element in the sample space the sum of the dice?
I understand the range of (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
I don't understand how they got the following:
Px(2)= P (x=2) = 1/36
Px(3)= P (x=3) = 2/36
Px(8)= P (x=8) = 5/36
Px(9)= P (x=9) = 4/36
Click here to see answer by ewatrrr(24785) |
Question 1174544: Let x be a random variable that denotes the number of tails obtained when three coins are tossed?
a. Find E(X) = ........ I solved this one, 1.5
b. Find the P(x < or = to 2) for the random variable
c. Find the P(x<5) for the random variable
Click here to see answer by ewatrrr(24785) |
Question 1174562: Choose a new vehicle sold in the United States in November 2014 at random. The probability distribution for the type of vehicle chosen is given below.
Vehicle type and Probability:
Passenger Car 0.46 - Pickup Truck 0.15 - SUV 0.10 - Crossover ? - Minivan 0.05
1) What is the probability that the vehicle is a crossover?
2) Given that the vehicle is not a passenger car, what is the probability that it is a pickup truck?
3) What is the probability that the vehicle is a pickup truck, SU, or minivan?
Using the same information as the last question. Suppose you select 3 vehicles at random. You want to know the probability that the vehicles are of three different types. Describe how you would carry out a simulation to help answer this question. Do not actually perform the simulation.
Click here to see answer by ewatrrr(24785) |
Question 1174562: Choose a new vehicle sold in the United States in November 2014 at random. The probability distribution for the type of vehicle chosen is given below.
Vehicle type and Probability:
Passenger Car 0.46 - Pickup Truck 0.15 - SUV 0.10 - Crossover ? - Minivan 0.05
1) What is the probability that the vehicle is a crossover?
2) Given that the vehicle is not a passenger car, what is the probability that it is a pickup truck?
3) What is the probability that the vehicle is a pickup truck, SU, or minivan?
Using the same information as the last question. Suppose you select 3 vehicles at random. You want to know the probability that the vehicles are of three different types. Describe how you would carry out a simulation to help answer this question. Do not actually perform the simulation.
Click here to see answer by ikleyn(52778) |
Question 1174555: A random sample of 72 statics students was taken to estimate the proportion of students who also were in the math club.The 99% confidence interval was 0.438 to 0.642.Using this data , what size whould necessary to estimate the true proportion to within 0.08 using 95% confidence
Click here to see answer by ewatrrr(24785) |
Question 1174569: The outcome of chance events in a fantasy role-playing game is determined by rolling polyhedral dice with anywhere from 4 to 20 sides. Suppose you roll a 16-sided die 5 times and observe the number on the top of the die.
1) How many possible outcomes are there for these 5 rolls?
2) In how many of the outcomes in the part (1) do the 5 rolls produce 5 different numbers?
3) What is the probability that at least 2 of the rolls are the same?
Click here to see answer by ikleyn(52778) |
Question 1174563: You work at Mike's pizza shop. You have the following information about the 7 pizzas in the oven: 3 of the 7 have thick crust and 2 of the 3 thick-crust pizzas have mushrooms. Of the remaining 4 pizzas, 2 have mushrooms. choose a pizza at random from the oven. make a Venn diagram to model this chance process.
a) Are the events "getting a thick-crust pizza" and "getting a pizza with mushrooms" independent?
b) You add and eighth pizza to the oven. This pizza has thick crust with only cheese. Now are the events "getting a thick-crust pizza" and "getting a pizza with mushrooms" independent? Explain
Click here to see answer by ikleyn(52778) |
Question 1174578: A family has five children. Assuming that the probability of a girl on each birth was 0.5 and
that the five births were independent,
what is the probability the family has at least one girl, given that they have at least one boy?
Click here to see answer by ikleyn(52778) |
Question 1174529: The probability that Nasim will study for her test is 3/10. The probability that she'll pass if she studies is 9/10. The probability that she'll pass if she doesn't study is 2/10. What is the probability that she has studied, given that she passes?
Click here to see answer by greenestamps(13200) |
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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, 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