The following table gives the probability distribution for a company's projected profits (x = profit in $1000s) for the first year of operation, with a single value missing (note that the negative value denotes a loss). X P(X = x) -100 0 50 100 150 200 0.1 0.2 0.3 0.25 0.1 (a) What is the missing value a = = P(X = 200)? (b) What is the probability that the company will be profitable? (c) Compute x = E(X) and interpret your answer. (d) Compute the cumulate distribution function of X.