For certain ore samples, the proportion Y of impurities

Chapter 4, Problem 27E

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QUESTION:

For certain ore samples, the proportion  of impurities per sample is a random variable with density function given in Exercise 4.21. The dollar value of each sample is \(W=5-.5 Y\). Find the mean and variance of .

Equation Transcription:

Text Transcription:

W=5-.5Y

Questions & Answers

QUESTION:

For certain ore samples, the proportion  of impurities per sample is a random variable with density function given in Exercise 4.21. The dollar value of each sample is \(W=5-.5 Y\). Find the mean and variance of .

Equation Transcription:

Text Transcription:

W=5-.5Y

ANSWER:

Solution 27E

Step1 of 3:

Let us consider a random variable Y it presents the number of impurities in a sample.

The density function of Y is given as:

 Also we have The dollar value of each sample is W = 5 − 0.5Y. 

We need to find mean and variance of W.


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