Question: 8. If X is a binomial random variable with parameters n and p, where 0 p b. As k goes from 0 to n, P{X
8. If X is a binomial random variable with parameters n and p, where 0
p
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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.
Pn-k a. P{X=k+1}= 1-pk+1 P{X=k}, k=0,1,...,n-1.
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