8.18. Let X be a binomial random variable with parameters n and p, which meansthat its mass function is given byƒ(1 (*)p²(1–p)**,= (*) p² (1-p)*-*, i=0,...,,and 0 otherwise. Prove thatE1+X=1-(1-p)"+1(n+1)p

binomial distribution is defined as A random variable is said to follow the binomial distribution…

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8.18. Let X be a binomial random variable with parameters n and p, which means that its mass function is given by ƒ(1 (*)p²(1–p)**, = (*) p² (1-p)-i, i=0,...,, and 0 otherwise. Prove that E 1+X = 1-(1-p)"+1 (n+1)p