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A Random Sample of
A pp If nn = 25 And xx

Question 21

Essay

A random sample of
a. Derive the maximum likelihood estimator of pp
. If nn
= 25 and xx
=5, what is the estimate?
b. Is the estimator of part (a) unbiased?
c. If nn
= 25 and xx
=5, what is the mle of the probability (1p)5( 1 - p ) ^ { 5 }
that none of the next five helmets examined is flawed?

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