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#17 solving with application’s of normal distribution

#17 solving with application’s of normal distribution

MATLAB: An Introduction with Applications
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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#17 solving with application’s of normal distribution
→ Find the probability that a person chosen at random from this population a) will have a cholesterol level greater than 250 b) will have a cholesterol level less than 200 c) will have a cholesterol level between 180 and 250 17. The daily attendance at weekly flea market follows a normal distribution with mean = 875 people and standard deviation o = 150 people. For a day chosen at random find the probability that the attendance will be a) less than 500 people b) 700 people or more a) between 35 and 40 hours b) more than 38 hours? + 18. The lifetime of a flashlight battery is normally distributed with a mean = 35.6 hr with standard deviation o=5.4 hr. One of these batteries was selected at random and tested. What is the probability that this battery will last 19. A factory dumps an average of 2.34 tons of pollutants into a river every week. If a standard deviation is 0.88 tons, what is the probability that in a week selected at random more than 3 tons are dumped? (Amount of pollutants is normally distributed) <> KY 20. Assume that men's weights are normally distributed with a mean = 172 lb and standard deviation = 29 lb. If one man is selected at random, find the probability that his weight is between 160 and 180 lb. a) less than 3 oz b) more than 3.7 oz 21. The Snack Pack of potato chips is advertised to weigh 3.5 oz. The weights are normally distributed with a mean = 3.5 oz and standard deviation a = 0.2 oz. A Snack Pack of potato chips is selected at random. Find the probability that it weights $ 22. Bill runs a bicycle repair shop. During the summer months the number of jobs per week follows ormal distribution with mean = 45 and standard deviation o = 9. For the week chosen at random, find the probability that he will have between 30 and 60 jobs. Q Search or enter website name % &
Transcribed Image Text:→ Find the probability that a person chosen at random from this population a) will have a cholesterol level greater than 250 b) will have a cholesterol level less than 200 c) will have a cholesterol level between 180 and 250 17. The daily attendance at weekly flea market follows a normal distribution with mean = 875 people and standard deviation o = 150 people. For a day chosen at random find the probability that the attendance will be a) less than 500 people b) 700 people or more a) between 35 and 40 hours b) more than 38 hours? + 18. The lifetime of a flashlight battery is normally distributed with a mean = 35.6 hr with standard deviation o=5.4 hr. One of these batteries was selected at random and tested. What is the probability that this battery will last 19. A factory dumps an average of 2.34 tons of pollutants into a river every week. If a standard deviation is 0.88 tons, what is the probability that in a week selected at random more than 3 tons are dumped? (Amount of pollutants is normally distributed) <> KY 20. Assume that men's weights are normally distributed with a mean = 172 lb and standard deviation = 29 lb. If one man is selected at random, find the probability that his weight is between 160 and 180 lb. a) less than 3 oz b) more than 3.7 oz 21. The Snack Pack of potato chips is advertised to weigh 3.5 oz. The weights are normally distributed with a mean = 3.5 oz and standard deviation a = 0.2 oz. A Snack Pack of potato chips is selected at random. Find the probability that it weights $ 22. Bill runs a bicycle repair shop. During the summer months the number of jobs per week follows ormal distribution with mean = 45 and standard deviation o = 9. For the week chosen at random, find the probability that he will have between 30 and 60 jobs. Q Search or enter website name % &
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