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10 cards from this deck
E(X)=npE(X) = npE(X)=np
Var(X)=np(1−p)Var(X) = np(1-p)Var(X)=np(1−p)
Probs sum to 1, E(X)=npE(X)=npE(X)=np, Var(X)=np(1−p)Var(X)=np(1-p)Var(X)=np(1−p)
(a+b)^n = sum_{k=0}^{n} inom{n}{k} a^{n-k} b^k
1
Var(X)=E(X2)−mu2Var(X) = E(X^2) - mu^2Var(X)=E(X2)−mu2
Find E[X(X−1)]E[X(X-1)]E[X(X−1)] first
n(n−1)p2n(n-1)p^2n(n−1)p2
0.50.50.5
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