son 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 = 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 18. The lifetime of a flashlight battery is normally distributed with a mean = 35.6 hr with standard deviation = 5.4 hr. One of these batteries was selected at random and tested. What is the probability that this battery will last a) between 35 and 40 hours b) more than 38 hours? 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) 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. 21. The Snack Pack of potato chips is advertised to weigh 3.5 oz. The weights are normally distributed with a mean A Snack Pack of potato chips is selected at random. Find the probability that it weights a) less than 3 oz b) more than 3.7 oz = 3.5 oz and standard deviation = 0.2 oz. 22. Bill runs a bicycle repair 'shop. During the summer months the number of jobs per week follows a normal distribution with mean 45 and standard deviation σ = 9. For the week chosen at random, find the probability that he will have between 30 and 60 jobs.

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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#19 solve using applications of normal distribution

E
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 = 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
18. The lifetime of a flashlight battery is normally distributed with a mean = 35.6 hr with
standard deviation = 5.4 hr. One of these batteries was selected at random and tested.
What is the probability that this battery will last
a) between 35 and 40 hours
b) more than 38 hours?
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)
20. Assume that men's weights are normally distributed with a mean = 172 lb and standard-
deviation o
29 lb.
If one man is selected at random, find the probability that his weight is between 160 and 180 lb.
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 o = 0.2 oz.
A Snack Pack of potato chips is selected at random.
Find the probability that it weights
a) less than 3 oz
b) more than 3.7 oz
22. Bill runs a bicycle repair 'shop. During the summer months the number of jobs per week
follows a normal distribution with mean = 45 and standard deviation = 9.
For the week chosen at random, find the probability that he will have between 30 and 60 jobs.
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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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