The repair time for air conditioning units is believed to have a normal distribution with a mean of 38 minutes. a. What is the standard deviation of repair time if 40% of the units are repaired between 33 and 43 minutes? b. Using the value of the standard deviation that you calculated in a., what is the probability that a repair will be longer than an hour? c. Using the value of the standard deviation that you calculated in a., what is the probability that the repair time for an air conditioning unit will be less than 25 minutes?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Please show the steps to solve the problems 28 a, b, and c.
The repair time for air conditioning units is believed to have a normal distribution with a mean
of 38 minutes.
a. What is the standard deviation of repair time if 40% of the units are repaired between 33
and 43 minutes?
b. Using the value of the standard deviation that you calculated in a., what is the probability
that a repair will be longer than an hour?
c. Using the value of the standard deviation that you calculated in a., what is the probability
that the repair time for an air conditioning unit will be less than 25 minutes?
Transcribed Image Text:The repair time for air conditioning units is believed to have a normal distribution with a mean of 38 minutes. a. What is the standard deviation of repair time if 40% of the units are repaired between 33 and 43 minutes? b. Using the value of the standard deviation that you calculated in a., what is the probability that a repair will be longer than an hour? c. Using the value of the standard deviation that you calculated in a., what is the probability that the repair time for an air conditioning unit will be less than 25 minutes?
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