Q.3 The probability density function for a continuous random variable X is fx(x) = fat bx; 0

Q.3 The probability density function for a continuous random variable X is a + bx2 {0 fx(x) = (i) Find constants a and b if E(X) = 0.6 (ii) Find cumulative distribution function (cdf), moment generating function. (iii) Using mgf, find and 2 and comment on it. (iv) Sketch pdf and cdf.