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Let (X1, , Xm) be a random sample of size m from a Binomial (n; p) distribution where both n and p are unknown. (a)

Let (X1, , Xm) be a random sample of size m from a Binomial (n; p) distribution where both n and p are unknown. (a) Find the moment estimators of n and p

(b) Use the estimators in (a) to estimate n and p using the following observed sample of size m = 10 (note that n should be rounded off to the nearest non-negative integer): 21 24 19 26 24 22 22 19 20 23

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