Let x be a continuous random variable with probability

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Let X be a continuous random variable with probability density function f(x) given by:

f(x) =??1/ 6(x^2 + 3x), if ?3 ? x ? 0

k(x?x2), if 0 < x ? 1

0, otherwise.

(a) Find the value of k.

(b) Find the distribution function F(x)

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