Question: Let Y be a Bernoulli random variable with success probability Pr(Y=1)=p. and let Y...., Y, be i.i.d. draws from this distribution. Let p be

Let Y be a Bernoulli random variable with success probability Pr(Y=1)=p. and

Let Y be a Bernoulli random variable with success probability Pr(Y=1)=p. and let Y...., Y, be i.i.d. draws from this distribution. Let p be the fraction of successes (1s) in this sample. a. Show that p = Y. b. Show that p is an unbiased estimator of p. c. Show that var(p) = p(1-p)/n.

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