three urn are given , each containing red and black ball as indicated below: Urn I: 6 red and 4 black balls. Urn II : 2 red and 6 black balls. Urn III:1 red and 8 black balls. An urn is choosen at random and a ball is drawn from that urn.the ball drawn is red.find the probability that the ball is drawn either from urn II or from urn III.
A random variable X has the following probability function: Values of X, x: 0 1 2 3 4 5 6 7 p(x): 0 k 2k 2k 3k 2 k 2 2k 7k k 2 + (i) Find k, (ii) Evaluate P(X < 6), P (X ≥ 6), and P ( 0< X < 5),(iii) If , (P X ≤ a) > 1/2 Find the minimum value of a, and (iv) Determine the distribution function of X.