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3. a). Let X be normal with mean 50 and variance 9. Determine c such that P (X c) =1 %, P (50 – c

3. a). Let X be normal with mean 50 and variance 9. Determine c such that P (X c) =1 %, P (50 – c

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
Section10.5: Comparing Sets Of Data
Problem 11PPS
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3. a). Let X be normal with mean 50 and variance 9. Determine c such that P (X< c) = 5%, P (X> c) =1 %, P (50 – c<X< 50 + c) =50% b). The lifetime X of a certain kind of commercial battery is normally distributed with a mean of 5 years and a standard deviation of 1 year. If the manufacturer warranty for the battery is 4 years, what percentage of batteries will the company have to replace under the warranty?
Transcribed Image Text:3. a). Let X be normal with mean 50 and variance 9. Determine c such that P (X< c) = 5%, P (X> c) =1 %, P (50 – c<X< 50 + c) =50% b). The lifetime X of a certain kind of commercial battery is normally distributed with a mean of 5 years and a standard deviation of 1 year. If the manufacturer warranty for the battery is 4 years, what percentage of batteries will the company have to replace under the warranty?
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