(b) An integer is chosen from first 100 positive integers. What is the probability that the chosen number is (i) even and divisible by 3, (ii) divisible by 6 or 12, (ii) divisible by 10 it is given that it is divisible by a number greater than 5. Q. # 4 (a) If the probability distribution of a random variable X is f(x) = Ce -2x, 0sxs0, Find () the value of C (i) P(X = 0.5), (ii) P(X > 2), (iv)P(2 < X s 5), (v)P(X > 5/ X > 0). (b) Find mean and variance of pdf given in part (a).Also find mean and variance of y = 2x + 3