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suppose a random variable X has a pdf given by fx(x)={k(x^2(1-x)), 0

suppose a random variable X has a pdf given by

fx(x)={k(x^2(1-x)), 0<=x<=1

{ 0, otherwise

a). find the value of k that makes this a valid pdf

b). find the cdf of X

c). find Fx(0.2)

d). find E[X]

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