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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F965b327b-dcc3-4292-a995-a48a8e435a5f%2F9058b370-a6df-43b1-9b7d-8f0824682b9d%2Fvkguss_processed.png&w=3840&q=75)
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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