Questions on Algebra: Probability and statistics answered by real tutors!

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Question 1150422: A newspaper article reported that people spend a mean of 7 hours per day watching TV, with a standard deviation of 2.0 hours. A psychologist would like to conduct interviews with the 5% of the population who spend the most time watching TV. She assumes that the daily time people spend watching TV is normally distributed. At least how many hours of daily TV watching are necessary for a person to be eligible for the interview? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Click here to see answer by VFBundy(438) About Me 

Question 1150814: How many different signals can be made by using at least 4 different flags if there are 6 different flags from which to select?

Click here to see answer by Alan3354(69443) About Me 
Question 1150814: How many different signals can be made by using at least 4 different flags if there are 6 different flags from which to select?

Click here to see answer by greenestamps(13195) About Me 

Question 1150815: one brand of tires are normally distributed with a mean of 48,500 miles and a standard deviation of 5000 if the manufacturer is willing to replace no more than 10% of the tires, what should be the approximate number of miles for a warranty?
Click here to see answer by amarjeeth123(569) About Me 

Question 1150295: Using the following stem & leaf plot, find the five number summary for the data by hand. Thank you!

1|07
2|067
3|06
4|1689
5|34799
6|44
Min =
Q1 =
Med =
Q3 =
Max =

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1150295: Using the following stem & leaf plot, find the five number summary for the data by hand. Thank you!

1|07
2|067
3|06
4|1689
5|34799
6|44
Min =
Q1 =
Med =
Q3 =
Max =

Click here to see answer by MathTherapy(10549) About Me 

Question 1150820: The mean value of land and buildings per acre from a sample of farms is ​$1600​, with a standard deviation of ​$100. The data set has a​ bell-shaped distribution. Assume the number of farms in the sample is 78.
Use the empirical rule to estimate the number of farms whose land and building values per acre are between ​$1500 and ​$1700.
18 farms ​(Round to the nearest whole number as​ needed.)

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

Question 1150679: The customer service department of HSBCC Bank receives the complaints following a Poisson distribution with the mean rate of two complaints per day.
(i) What is the probability of at most two complaints per day?
(ii) Assume that a week has five working days. What is the probability that a randomly selected week has three days with at most two complaints per day?

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Question 1150678: “Best Fitness” Company is going to hold a stretching class with 15 registered students. From the previous records of stretching classes, the average absence rate per student is 5%.
(i) Calculate the probability that at most 13 students will attend the stretching class.
(ii) Given that at least 12 students attend the stretching class, calculate the probability that there will be at most 1 student absent.

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Question 1150678: “Best Fitness” Company is going to hold a stretching class with 15 registered students. From the previous records of stretching classes, the average absence rate per student is 5%.
(i) Calculate the probability that at most 13 students will attend the stretching class.
(ii) Given that at least 12 students attend the stretching class, calculate the probability that there will be at most 1 student absent.

Click here to see answer by ikleyn(52754) About Me 

Question 1150692: John can take on three possible routes from his home to his oce in the
morning. The percentage of days on routes A, B, and C to his oce were 45%,
30%, and 25%, respectively. The travelling time on each of these routes is
normally distributed with mean and standard deviation given in the following
table:
Mean:
Route A 30 minutes
Route B 35 minutes
Route C 28 minutes
Standard Deviation
A . 10 minutes
B . 8 minutes
C . 12 minutes
John left his home at 8:28am and arrived at his oce before 9:00am. Calculate
the probability that he took Route B to work?

Click here to see answer by Glaviolette(140) About Me 

Question 1150676: Albert is undecided as to whether take a Mathematics subject or an Accounting subject. He estimates that his probability of receiving an A grade would be 1/3 in the Mathematics subject and 2/3 in the Accounting subject. If he decides to base his decision (to take which subject) on the flip of a fair coin, what is the probability that he gets an A grade in the Accounting subject?
Click here to see answer by Glaviolette(140) About Me 

Question 1150550: In the upcoming election for governor, the most recent poll, based on 900 respondents, predicts that the incumbent will be reelected with 55 percent of the votes. What is σρˆ?
Click here to see answer by Glaviolette(140) About Me 

Question 1150536: 4. A manufacturer fills jars with coffee. The weight of coffee, W grams, in a jar can be modelled by a normal distribution with mean 232 grams and standard deviation 5 grams.
(i) Find P(W < 227)? [4 marks]
(ii) One hundred jars of coffee are selected at random. Find the probability that more than 23 jars contains less than 227 grams of coffee.

Click here to see answer by Glaviolette(140) About Me 

Question 1150436: The customer accounts at a certain departmental store have an average balance of Shs.480 and a standard deviation of Shs.160. Assuming that the account balances are normally distributed
i)What proportion of the accounts is over Shs.600? (2 marks)
ii)What proportion of the accounts is between Shs.400 and Shs.600 (2 marks)
iii) What proportion of the accounts is between Shs.240 and Shs.360 (2 marks)

Click here to see answer by Glaviolette(140) About Me 

Question 1150426: Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 11 million dollars and a standard deviation of 1.1 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 15% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.

Click here to see answer by Glaviolette(140) About Me 

Question 1150845: Certain birth defects and syndromes are polygenetic in nature.​ Typically, the chance that an offspring will be born with a polygenetic affliction is small.​ However, once an offspring is born with the​ affliction, the probability that future offspring of the same parents will be born with the same affliction increases.​ Let's assume that the probability of a child being born with affliction A is 0.007. If a child is born with this​ affliction, the probability of a future child being born with the same affliction becomes 0.05.
A couple plans to have one child. Determine the probability that the child will be born with this affliction.____?____?​(Type an integer or a​ decimal.)

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Question 1150844: A new medicine was given to a sample of 100 hospital patients. Of the​ total, 62 patients reacted​ favorably, 11 reacted​ unfavorably, and 27 were unaffected by the drug. Assume that this sample is representative of the entire population. If this medicine is given to Mr. and Mrs. Rivera and their son​ Carlos, what is the probability Mrs. Rivera reacts​ favorably? (Assume​ independence.)
The probability that Mrs. Rivera reacts favorably is______?

Click here to see answer by ikleyn(52754) About Me 

Question 1150855: Samples of size n = 240 are randomly selected from the population of numbers (0 through 20) produced by a random-number generator, and the variance is found for each sample. What is the distribution of the sample variances?

A)skewed to the left


B)normal (approximately)


C)skewed to the right


D)not enough information provided

Click here to see answer by MathLover1(20849) About Me 
Question 1150855: Samples of size n = 240 are randomly selected from the population of numbers (0 through 20) produced by a random-number generator, and the variance is found for each sample. What is the distribution of the sample variances?

A)skewed to the left


B)normal (approximately)


C)skewed to the right


D)not enough information provided

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

Question 1150865: what are the odds of 3 random 10 digit numbers that each individually add up to 42?

Click here to see answer by Alan3354(69443) About Me 

Question 1150886: Question about probability and matching. If there are 8 questions each with one correct answer for a total of 8 answers, what is the probable or estimated number of correct responses if the answers are simply randomly matched to questions?
Click here to see answer by ikleyn(52754) About Me 

Question 1150889: Textbook authors and publishers work very hard to minimize the number of errors in a text.
However, some errors are unavoidable. Mr. J. A. Carmen, statistics editor, reports that the
mean number of errors per chapter is O.B. What is the probability that there are less than 2
errors in a particular chapter?

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Question 1150890: Textbook authors and publishers work very hard to minimize the number of errors in a text.
However, some errors are unavoidable. Mr. J. A. Carmen, statistics editor, reports that the
mean number of errors per chapter is O.8. What is the probability that there are less than 2
errors in a particular chapter?

Click here to see answer by ikleyn(52754) About Me 

Question 1150898: Given the population of elements (22,24,26)
Write down all possible samples of size two chosen by simple random sampling

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Question 1150900: The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 63.0 feet and a standard deviation of 6.25 feet. Random samples of size 16 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1150893: Textbook authors and publishers work very hard to minimize the number of errors in a text. However, some errors are unavoidable. Mr. J. A. Carmen, statistics editor, reports that the mean number of errors per chapter is 0.8 . What is the probability that there are less than 2 errors in a particular chapter?
Click here to see answer by MathLover1(20849) About Me 

Question 1150891: Textbook authors and publishers work very hard to minimize the number of errors in a text. However, some errors are unavoidable. Mr. J. A. Carmen, statistics editor, reports that the mean number of errors per chapter is 0.8 . What is the probability that there are less than 2 errors in a particular chapter?


p/s: sorry my bad

Click here to see answer by ikleyn(52754) About Me 

Question 1150682: John can take on three possible routes from his home to his office in the morning. The percentage of days on routes A, B, and C to his office were 45%, 30%, and 25%, respectively. The travelling time on each of these routes is normally distributed with mean and standard deviation.
Mean: Route A 30 minutes, Route B 35 minutes, Route C 28 minutes
Standard Deviation: Route A 10 minutes, Route B 8 minutes, Route C 12 minutes
John left his home at 8:28 am and arrived at his office before 9:0 0am. Calculate the probability that he took Route B to work?

Click here to see answer by ikleyn(52754) About Me 

Question 1150924: Refer to the Lincolnville School District bus data.
a. Refer to the maintenance cost variable. The mean maintenance cost for last year is $4,552 with a standard deviation of $2332. Estimate the number of buses with a maintenance cost of more than $6,000. Compare that with the actual number. Create a frequency distribution of maintenance cost. Is the distribution normally distributed?
b. Refer to the variable on the number of miles driven since the last maintenance. The mean is 11,121, and the standard deviation is 617 mile. Estimate the number of buses traveling more than 11,500 miles since the last maintenance. Compare that number t the actual value. Create a frequency distribution of miles since maintenance cost. Is the distribution normally distributed?

Click here to see answer by ikleyn(52754) About Me 

Question 1150923: Refer to the Baseball 2016 data. Compute the mean number of home runs per game. To do this, first find the mean number of home runs per team for 2016. Next, divide this value by 162 (a season comprises 162 games). Then multiply by 2 because there are two teams in each game. Use the Poisson distribution to estimate the number of home runs that will be hit in a game. Find the probability that:
a.There are no home runs in a game.
b. There are two home runs in a game.
c. There are at least four home runs in a game.

Click here to see answer by ikleyn(52754) About Me 
Question 1150923: Refer to the Baseball 2016 data. Compute the mean number of home runs per game. To do this, first find the mean number of home runs per team for 2016. Next, divide this value by 162 (a season comprises 162 games). Then multiply by 2 because there are two teams in each game. Use the Poisson distribution to estimate the number of home runs that will be hit in a game. Find the probability that:
a.There are no home runs in a game.
b. There are two home runs in a game.
c. There are at least four home runs in a game.

Click here to see answer by Alan3354(69443) About Me 

Question 1150926: To Whom This May Concern:
I requested 4 homework questions to be answered by one of your tutors. It came back asking me to stop posting questions which does not make any sense. Those are ALL homework questions given to me to solve by my professor. These are actual questions. I am currently enrolled in SYM - 506 Applied Business Probability and Statistics and I needed help with those problems. For some of them, we had to refer to the following information:
SYM -506 -RS - Baseball 2016 Daa.xlsx
SYM -506 - RS - Lincolnville School District Bus Data.xls

Click here to see answer by Alan3354(69443) About Me 

Question 1150925: P(-c less than or equal to z less than or equal to c)=0.9488
Click here to see answer by ikleyn(52754) About Me 

Question 1150922: Best Electronics Inc. Offers a "no hassle" return policy. The daily number of customers returning items follows the normal distribution. The mean number of customers returning items is 10.3 per day and the standard deviation is 2.25 per day.
a. For any day, what is the probability that eight or fewer customers returned items?
b. For any day, what is the probability that the number of customers returning items is between 12 and 14?
c. Is there any chance of a day with no customer returns?

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Question 1150921: Management at Gordon Electronics is considering adopting a bonus system to increase production. One suggestion is to pay a bonus on the highest 5% of production based on past experience. Past records indicate weekly production follows the normal distribution. The mean of the distribution is 4,000 units per week and the standard deviation is 60 units per week. If the bonus is paid on the upper 5% of production, the bonus will be paid on how many units or more?
Click here to see answer by MathLover1(20849) About Me 

Question 1150940: PROBLEM 3: (13 marks) An insurance company has three secretaries, A, B, and C that each is capable of processing four different types of insurance claims. The amount of time required by each secretary to process a particular type of a claim is summarized in the following table Processing Time in Hours Claim Type 3 2 2 4 4 1 5 Secretary В 4 2 3 1 On a typical week, the insurance firm has 5 type 1 claims, 4 type 2 claims, 2 type 3 claims, and 3 type 4 claims. Each secretary works a maximum of 40 hours per week. The office manager wants to know how many of each type of an insurance claim should be processed by each secretary to minimize the total processing time Sensitivity Report Adjustable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease SC$13 A1 5 2 1E+30 1E+30 1E+30 $D$13 A2 0 1 1 $E$13 $F$13 SC$14 $D$14 SE$14 $F$14 $C$15 $D$15 $E$15 $F$15 A3 0 2 1 A4 0 4 1E+30 B1 2 1E+30 2 B2 0 3 1E+30 3 1E+30 2 B3 0 2 B4 3 0 1 3 1E+30 C1 0 1 1E+30 C2 4 2 1E+30 2 1E+30 C3 0 C4 0 5 1E+30 4 Constraints Allowable Allowable Final Shadow Constraint Cell $G$13 A constraint $G$14 B constraint Name Value Price R.H. Side Increase Decrease 1E+30 1E+30 1E+30 15 10 40 30 3 10 5 0 0 40 37 30 5 $G$15 C constraint $C$16 Claim Type 1 $D$16 Claim Type 2 $E$16 Claim Type 3 $F$16 40 5 4 2 4 4 2 2 2 30 Claim Type 4 3 37 OONGN BC Use the Sensitivity Report to answer the following questions A) What is the total minimal processing time in hours? (1 mark) B) Suppose that secretary A can process a type 2 claim in two hours rather than three hours How would this impact the current optimal solution? (1 mark) C) Assume that secretary C can process a type 4 claim in 6 hours rather than 5 hours. How would this impact the current optimal solution? (1 mark) D) Currently, secretary C is not processing any type 4 claims. Suppose that we force secretary C to process one type 4 claim. What impact would this have on the optimal solution? (2 mark) E) Which constraints are binding? (2 mark) F) Suppose that secretary A has a total of 45 weekly hours. What impact would this have on the current optimal solution? (2 mark) G) What is the total number of unused weekly hours for secretary B? (2 marks) H) Suppose that the number of type 4 claims increases to 4. What impact would this have on the current bptimal solution? (2 marks)

Click here to see answer by ikleyn(52754) About Me 
Question 1150940: PROBLEM 3: (13 marks) An insurance company has three secretaries, A, B, and C that each is capable of processing four different types of insurance claims. The amount of time required by each secretary to process a particular type of a claim is summarized in the following table Processing Time in Hours Claim Type 3 2 2 4 4 1 5 Secretary В 4 2 3 1 On a typical week, the insurance firm has 5 type 1 claims, 4 type 2 claims, 2 type 3 claims, and 3 type 4 claims. Each secretary works a maximum of 40 hours per week. The office manager wants to know how many of each type of an insurance claim should be processed by each secretary to minimize the total processing time Sensitivity Report Adjustable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease SC$13 A1 5 2 1E+30 1E+30 1E+30 $D$13 A2 0 1 1 $E$13 $F$13 SC$14 $D$14 SE$14 $F$14 $C$15 $D$15 $E$15 $F$15 A3 0 2 1 A4 0 4 1E+30 B1 2 1E+30 2 B2 0 3 1E+30 3 1E+30 2 B3 0 2 B4 3 0 1 3 1E+30 C1 0 1 1E+30 C2 4 2 1E+30 2 1E+30 C3 0 C4 0 5 1E+30 4 Constraints Allowable Allowable Final Shadow Constraint Cell $G$13 A constraint $G$14 B constraint Name Value Price R.H. Side Increase Decrease 1E+30 1E+30 1E+30 15 10 40 30 3 10 5 0 0 40 37 30 5 $G$15 C constraint $C$16 Claim Type 1 $D$16 Claim Type 2 $E$16 Claim Type 3 $F$16 40 5 4 2 4 4 2 2 2 30 Claim Type 4 3 37 OONGN BC Use the Sensitivity Report to answer the following questions A) What is the total minimal processing time in hours? (1 mark) B) Suppose that secretary A can process a type 2 claim in two hours rather than three hours How would this impact the current optimal solution? (1 mark) C) Assume that secretary C can process a type 4 claim in 6 hours rather than 5 hours. How would this impact the current optimal solution? (1 mark) D) Currently, secretary C is not processing any type 4 claims. Suppose that we force secretary C to process one type 4 claim. What impact would this have on the optimal solution? (2 mark) E) Which constraints are binding? (2 mark) F) Suppose that secretary A has a total of 45 weekly hours. What impact would this have on the current optimal solution? (2 mark) G) What is the total number of unused weekly hours for secretary B? (2 marks) H) Suppose that the number of type 4 claims increases to 4. What impact would this have on the current bptimal solution? (2 marks)

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Question 1151042: A plane takes off and travels at an angle of 25° north of east at 105 mph for 2 hours. It then adjusts its path to head 60° west of north and travels in that direction for an hour at a speed of 95 mph. Approximately how far away is the plane from its starting point?
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Question 1151047: Suppose the number of students in a class for the Business Statistics program at a University has a mean of 23 with a standard deviation of 4.3. If 15 classes are selected randomly, find the probability that the mean number of students is between 20 and 30.
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Question 1151073: Simplify 1/2! + 2/3! + 3/4! + .... + 11/12!
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Question 1150738: If X is normally distributed on (5,4) then what is the probability that
8 < Y < 13 where Y = 2X + 1?

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Question 1150438: contractor plans to use four tractors to work on a project in a remote area. The
probability of a tractor functioning for a year without a break-down is known to be
80 %. If X denotes the number of tractors operating at the end of a year, determine the
probability mass and distribution functions of X.

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Question 1150405: the average retail price of gasoline (all types) for 2014 was $3.42 cents. what would the standard deviation have to be in order for there to be a 15% probability that a gallon cost less than $3.00?

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Question 1150437: The marks of students, in a course of Probability and Statistics, at a university, are normally distributed with mean 68% and variance 70%. If passing percentage of marks is at least 40, what proportion of class will fail the course? The teacher decides to award grade ‘A’ to the highest 7% marks, grade ‘B+’ to next 15% marks, grade ‘B’ to next 25% marks , grade ‘C+’ to next 20% marks, grade ‘C’ to next 13% marks, grade ‘D’ to next 11% marks find the range of marks for grade ‘A’,’B+’, ’B’, ’C+’, ’C’, ’D’, ’F’.
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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, 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