Question

) Raw materials are studied for contamination. Suppose that the number of particles of contamination per...

) 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 0.014 particles 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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Answer #1

a. Given that 0.014 particles per pound.

(0.014/0.014)*5 particles per (1/0.014)*5 pound.

5 particles per 357.1429 pounds.

Ans : 357.1429 pounds.

b. standard deviation of the pounds of materials =sqrt(5/0.014^2) =159.7191

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