Let X 1 , . . . , X n be an i.i.d. Bernoulli sequence with parameter

Question:

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

(a) Find the conditional distribution of X₁given X₁ + · · · + X_n = k.
(b) Find E[X₁|X₁ + · · · + X_n = k] and V[X₁|X₁ + · · · + X_n = k].

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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