Question: Let U1, . . . , Un, . . . be independent uniform (0, 1) random variables. Let N = min{n : Un > 0.8}

Let U1, . . . , Un, . . . be independent uniform (0, 1) random variables. Let N = min{n : Un > 0.8}

and let S =

N i=1 Ui .

(a) Find E[S] by conditioning on the value of U1.

(b) Find E[S] by conditioning on N.

(c) Find E[S] by using Wald’s equation.

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