Question: Let f(x) = 30x2(1-x)2 for 0 x 1 and f(x) = 0 for all other values of x. a. Verify that f is

Let f(x) = 30x2(1-x)2 for 0 ≤ x ≤ 1 and f(x) = 0 for all other values of x.
a. Verify that f is a probability density function.
b. Find P(X ≤ 1/3)

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