In a random sample of 80 components of a certain type, 12 are found to be defective.

Question:

a. Give a point estimate of the proportion of all such components that are not defective.

b. A system is to be constructed by randomly selecting two of these components and connecting them in series, as shown here.

m m

a. Find an unbiased estimator of m and compute the estimate for the data. [Hint: E(X) m for X Poisson, so E( ) ?]

b. What is the standard deviation (standard error) of your estimator? Compute the estimated standard error. [Hint:

for X Poisson.]

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