Q. 3. Let X be a continuous random variable with probability density function if 0

Q. 3. Let X be a continuous random variable with probability density function if 1 < xS2 otherwise. o (i) (ii) (iii) (iv) (v) (vi) Find the cumulative distribution function of X. Find IP(O S X 1). Find E[XI. Let Y = X2, and find the CDF and PDF of Y. Find Var(X). Find IP(21X -II 1).