Each of eight bearings in a bearing assembly has a diameter (in millimeters) that has

Chapter 5, Problem 5.3-16

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QUESTION:

Each of eight bearings in a bearing assembly has a diameter (in millimeters) that has the pdf f(x) = 10x9, 0 < x < 1. Assuming independence, find the cdf and the pdf of the maximum diameter (say, Y) of the eight bearings and compute P(0.9999 < Y < 1).

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QUESTION:

Each of eight bearings in a bearing assembly has a diameter (in millimeters) that has the pdf f(x) = 10x9, 0 < x < 1. Assuming independence, find the cdf and the pdf of the maximum diameter (say, Y) of the eight bearings and compute P(0.9999 < Y < 1).

ANSWER:

Step 1 of 5

Given:  are independent with

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