Question: 64. Show that E(X) np when X is a binomial random variable. [Hint: First express E(X) as a sum with lower limit x

64. Show that E(X)  np when X is a binomial random variable.

[Hint: First express E(X) as a sum with lower limit x  1.

Then factor out np, let y  x  1 so that the sum is from y  0 to y  n  1, and show that the sum equals 1.]

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