13. To qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 64 and a standard deviation of 9. If only the top 20% of the applicants are selected, find the cutoff score.
13. To qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 64 and a standard deviation of 9. If only the top 20% of the applicants are selected, find the cutoff score.
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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Answer 13-15 only
Transcribed Image Text:II.
Applications of Normal Distributions.
erage number of calories in a 1.5-ounce chocolate bar is 225. Suppose that the distribution
mately normal with s =10. Find the probability that a rene
plate
1
of calories S
bar will have;
a. Between 200 and 220
an 200 calories
b. L
12. The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a
standardtation of 3.6 minutes. Assume the variable is normally distributed When a patron arrives
at the restaurant for er find the probability that the patron we to wait the following time.
a. Between 15 and 22 minutes
b. Less to minutes or more than 25 minutes
13. To qualify for a police academy, applicants are given a test of physical fitness. The scores are
normally distributed with a mean of 64 and a standard deviation of 9. If only the top 20% of the
applicants are selected, find the cutoff score.
14. The mean lifetime of a wristwatch is 25 months, with a standard deviation of 5 months. If the
distribution 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.
15. To help students improve their reading, a school district decides to implement a reading program.
It is to be administered to the bottom 5% of the students in the district, based on the scores on a
reading achievement exam. If the average score for the students in the district is 122.6, find the cutoff
score that will make a student eligible for the program. The standard deviation is 18. Assume the
variable is normally distributed.
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