Suppose that the life span of a new calculator is normally distributed with mean 54.4 months and standard deviation 8.2 months. • The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. What percentage of calculators manufactured by this company are expected to be replaced? • A random sample of 50 calculators is selected. What is the probability that the average lifespan of the calculators in this sample will be greater than 54 months?

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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Suppose that the life span of a new calculator is normally distributed with mean 54.4
months and standard deviation 8.2 months.
• The company guarantees that any calculator that starts malfunctioning within
36 months of the purchase will be replaced by a new one. What percentage of
calculators manufactured by this company are expected to be replaced?
• A random sample of 50 calculators is selected. What is the probability that the
average lifespan of the calculators in this sample will be greater than 54 months?
Transcribed Image Text:Suppose that the life span of a new calculator is normally distributed with mean 54.4 months and standard deviation 8.2 months. • The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. What percentage of calculators manufactured by this company are expected to be replaced? • A random sample of 50 calculators is selected. What is the probability that the average lifespan of the calculators in this sample will be greater than 54 months?
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