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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger
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Raw materials are studied for contamination. Suppose that

Chapter 4, Problem 140E

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QUESTION:

Raw materials are studied for contamination. Suppose that the number of particles of contamination per pound of material is a Poisson random variable with a mean of 0.01 particle per pound.

(a) What is the expected number of pounds of material required to obtain 15 particles of contamination?

(b) What is the standard deviation of the pounds of materials required to obtain 15 particles of contamination?

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QUESTION:

Raw materials are studied for contamination. Suppose that the number of particles of contamination per pound of material is a Poisson random variable with a mean of 0.01 particle per pound.

(a) What is the expected number of pounds of material required to obtain 15 particles of contamination?

(b) What is the standard deviation of the pounds of materials required to obtain 15 particles of contamination?

ANSWER:

Step 1 of 4

Given,

The mean,  particle per pound.

Consider the X Poisson random variable with parameter . We know that the Erlang random variable is the time until the rth event in a Poisson process.

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