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Company XYZ knows that replacement times for the quartz time pieces it produces are normally distributed with a mean of 12.5 years and a standard deviation of 0.6 years. (a) Find the probability that a randomly selected quartz time piece will have a replacement time less than 11.2 years. Give the probability rounded to 4 places after the decimal. PX 11.2 years) = (b) If the company wants to provide a warranty so that only 4.1% of the quartz time pieces will be replaced before the warranty expires, what is the time length of the warranty? Give the length in years, rounded to one decimal place. Warranty length = years

Company XYZ knows that replacement times for the quartz time pieces it produces are normally distributed with a mean of 12.5 years and a standard deviation of 0.6 years. (a) Find the probability that a randomly selected quartz time piece will have a replacement time less than 11.2 years. Give the probability rounded to 4 places after the decimal. PX 11.2 years) = (b) If the company wants to provide a warranty so that only 4.1% of the quartz time pieces will be replaced before the warranty expires, what is the time length of the warranty? Give the length in years, rounded to one decimal place. Warranty length = years

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Company XYZ knows that replacement times for the quartz time pieces it produces are normally distributed with a mean of 12.5 years and a standard deviation of 0.6 years. (a) Find the probability that a randomly selected quartz time piece will have a replacement time less than 11.2 years. Give the probability rounded to 4 places after the decimal. PX 11.2 years) = (b) If the company wants to provide a warranty so that only 4.1% of the quartz time pieces will be replaced before the warranty expires, what is the time length of the warranty? Give the length in years, rounded to one decimal place. Warranty length = years
Transcribed Image Text:Company XYZ knows that replacement times for the quartz time pieces it produces are normally distributed with a mean of 12.5 years and a standard deviation of 0.6 years. (a) Find the probability that a randomly selected quartz time piece will have a replacement time less than 11.2 years. Give the probability rounded to 4 places after the decimal. PX 11.2 years) = (b) If the company wants to provide a warranty so that only 4.1% of the quartz time pieces will be replaced before the warranty expires, what is the time length of the warranty? Give the length in years, rounded to one decimal place. Warranty length = years
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