Let X be the r.v. denoting the number of forms required to be ?lled out by a contractor for participation in contract bids, where the values of X are 1, 2, 3, 4, and 5, and suppose that the respective probabilities are proportional to x; that is, P(X = x) = f(x) = cx, x = 1, . . . , 5. (i) Determine the constant c. (ii) Calculate the probabilities. Solution 15 c=1 c = 1/15 = 0.066 probabilities = 0.066 , 0.133 , .......0.33.