Question: If X is a binomial random variable with parameters n and p, where 0 (b) As k goes from 0 to n, P{X = k}

If X is a binomial random variable with parameters n and p, where 0

(b) As k goes from 0 to n, P{X = k} first increases and then decreases, reaching its largest value when k is the largest integer less than or equal to (n + 1)p.

(a) P{X=k+1} = P n-k 1-pk+1 P{X=k}, k = 0, 1,...,n-1.

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