Let X 1, ... , X n denote a sequence of iid Bernoulli (p)
Chapter 9, Problem 9.30(choose chapter or problem)
Let X 1, ... , X n denote a sequence of iid Bernoulli (p) random variables and let K = X1 + + X n. In addition, let JV! denote a binomial ( ri, p) random variable, independent of X1 , ... , Xn. Do the random variables U = X 1 + + X K and V = X 1 + + X A1 have the same expected value? Be careful: U is not an ordinary random sum of random variables.
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