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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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
Transcribed Image Text: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
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given data normal distributionμ = 4.5σ=2

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