Question: 1. Let {X1,X2, . . .} be a sequence of nonnegative independent random variables and, for all i, suppose that the probability density function of

1. Let {X1,X2, . . .} be a sequence of nonnegative independent random variables and, for all i, suppose that the probability density function of Xi is

(6x(1-x) if 0x1 f(x) = 0 otherwise.

Find

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(6x(1-x) if 0x1 f(x) = 0 otherwise.

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