Question: Suppose that we observe a random variable having the binomial distribution. Let (X) be the number of successes in (n) trials. (a) Show that (frac{X}{n})

Suppose that we observe a random variable having the binomial distribution. Let \(X\) be the number of successes in \(n\) trials.

(a) Show that \(\frac{X}{n}\) is an unbiased estimate of the binomial parameter \(p\).

(b) Show that \(\frac{X+1}{n+2}\) is not an unbiased estimate of binomial parameter \(p\).

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