A Random Sample of
A $p$ If $n$ = 25 And $x$

Essay

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