Question: Let X 1 , . . . , X n be an i.i.d. Bernoulli sequence with parameter p. (a) Find the conditional distribution of X

Let X1, . . . , Xn be an i.i.d. Bernoulli sequence with parameter p.

(a) Find the conditional distribution of X1 given X1 + · · · + Xn = k.
(b) Find E[X1|X1 + · · · + Xn = k] and V[X1|X1 + · · · + Xn = k].

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