Company XYZ knows that replacement times for the mircowaves it produces are normally distributed with a mean of 4.5 years and a standard deviation of 2 years. Let X be the replacement time of a randomly selected mircowave. a. What is the distribution of X? X - ? ✓ Please show the following answers to 4 decimal places. b. If a mircowave is randomly chosen, find the probability that it will be replaced in less than 2.5 years. c. If a mircowave is randomly chosen, find the probability that it will be replaced between 4.1 and 8.1 years. Please show the following answer to 1 decimal place. d. If the company wants to provide a warranty so that only 8% of the mircowaves will be replaced before the warranty expires, what is the time length of the warranty? years
Company XYZ knows that replacement times for the mircowaves it produces are normally distributed with a mean of 4.5 years and a standard deviation of 2 years. Let X be the replacement time of a randomly selected mircowave. a. What is the distribution of X? X - ? ✓ Please show the following answers to 4 decimal places. b. If a mircowave is randomly chosen, find the probability that it will be replaced in less than 2.5 years. c. If a mircowave is randomly chosen, find the probability that it will be replaced between 4.1 and 8.1 years. Please show the following answer to 1 decimal place. d. If the company wants to provide a warranty so that only 8% of the mircowaves will be replaced before the warranty expires, what is the time length of the warranty? years
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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