Question: For the Binomial distribution show (a) Xn x0 x j n,p 1. Hint: Use the Binomial Theorem. (b) E[X] np.

For the Binomial distribution show

(a)

Xn xÆ0

¼

¡

x j n,p

¢

Æ 1.

Hint: Use the Binomial Theorem.

(b) E[X] Æ np.

(c) var[X] Æ np(1¡p).

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