The probability density function (p.d.f) of the random variable X is given by i) ii) iii) = f(x) = {kx(1 - {kx(1-x²), 0≤x≤1 otherwise Show that the value of k must be 4 so that f(x) is p.d.f. Calculate P (0 < x <=). Find the values of A so that P(0 < X

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