Problem#66.10 A set of final examination grades in an introductory statisticscourse is normally distributed, with a mean of 73 and a standarddeviation of 8.a. What is the probability that a student scored below 91 on this exam?b. What is the probability that a student scored between 65 and 89?c. The probability is 5% that a student taking the test scoreshigher than what grade?d. If the professor grades on a curve (i.e., gives A's to the top 10%of the class, regardless of the score), are you better off with agrade of 81 on this exam or a grade of 68 on a different exam,where the mean is 62 and the standard deviation is 3? Showyour answer statistically and explain.Ignore part (d) of problem #6 (Book problem#6.10).

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Answered: 6.10 A set of final examination grades…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study shows that the normal time that a customer occupied a table in a fine dine restaurant is 1.2 hours with a standard deviation of 0.4 hour. A food entrepreneur wants to find the probability that customers occupying 25 tables would have an average time of less than 1 hour. Question: 1. What is the value of the standard deviation of the sampling distribution? A. 0.08 B. 0.4 C. 1.2 D. 1
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O 6. Salaries for Actuaries The average salary for gradu- ates entering the actuarial field is $63,000. If the salaries are normally distributed with a standard deviation of $5000, find the probability that a. An individual graduate will have a salary over $68,000. b. A group of nine graduates will have a group average over $68,000. Source: www.payscale.com & 7. Commuter Train Passengers On a certain run of : commuter train, the average number of passengers is 476 and the standard deviation is 22. Assume the variable is normally distributed. If the train makes the run, find the probability that the number of passengers will be a. Between 476 and 500 passengers b. Fewer than 450 passengers c. More than 510 passengers
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1) The mean and standard deviation of a population are 200 and 20, respectively.The probability of selecting one data value less than 190 is ____ %. (Round answer to the nearest percent (whole number). Do not write the % sign.) 2) A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at least 25.2 hours of television is? Give answer to the nearest whole number, not a percent. 3) A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at most 22.5 hours of television is? . Give…
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