In Exercise 5.42, we determined that the unconditional

Chapter 5, Problem 83E

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QUESTION:

In Exercise 5.42, we determined that the unconditional probability distribution for , the number of defects per yard in a certain fabric, is

                         \(p(y)=(1/2)^{y+1},\quad\ \ \ \ \ \ \ y=0,\ 1,\ 2,\ldots.\)

Find the expected number of defects per yard.

Equation Transcription:

Text Transcription:

p(y)=(1/2)^y+1,     y=0,1,2,....


Questions & Answers

QUESTION:

In Exercise 5.42, we determined that the unconditional probability distribution for , the number of defects per yard in a certain fabric, is

                         \(p(y)=(1/2)^{y+1},\quad\ \ \ \ \ \ \ y=0,\ 1,\ 2,\ldots.\)

Find the expected number of defects per yard.

Equation Transcription:

Text Transcription:

p(y)=(1/2)^y+1,     y=0,1,2,....


ANSWER:

Step 1 of 2

From the question the probability distribution for Y is

This is a type of geometric distribution.

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