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.
