Determine the conditional distribution
Assume X1 and X2 are independent binomial r.v.s, and X1 B(4;0:3) (i.e., n = 4 trials with the success probability p = 0:3) and X2 B(3;0:3).
i) Determine the conditional distribution of X1 given X1 +X2 = 6.
ii) Find E[X1|X1 +X2 = 6].
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