4. The time required in the first step of a manufacturing process is a normally-distributed random variable with mean = 45 min and standard deviation = 4 min. The time required in the second step of the manufacturing process is also a normally-distributed random variable with mean = 24 min and standard deviation = 3 min. a) What is the probability that the time required to complete both of those steps will be greater than 75 min? b) What is the probability that the time required to complete both steps will be no more than 70 min?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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4. The time required in the first step of a manufacturing process is a normally-distributed random variable with
mean = 45 min and standard deviation = 4 min. The time required in the second step of the manufacturing
process is also a normally-distributed random variable with mean = 24 min and standard deviation = 3 min.
a) What is the probability that the time required to complete both of those steps will be greater than
75 min?
b) What is the probability that the time required to complete both steps will be no more than 70 min?
Transcribed Image Text:4. The time required in the first step of a manufacturing process is a normally-distributed random variable with mean = 45 min and standard deviation = 4 min. The time required in the second step of the manufacturing process is also a normally-distributed random variable with mean = 24 min and standard deviation = 3 min. a) What is the probability that the time required to complete both of those steps will be greater than 75 min? b) What is the probability that the time required to complete both steps will be no more than 70 min?
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