A company is bidding on three contracts with values of $20 million, $80 million and $50 million with corresponding win probabilities of ½ ¼ and ¾.
a) Determine and plot the probability mass function and probability distribution function of the contract award amount (in millions of dollars).
b) What is the probability of being awarded at least $100 million?
c) What is the mean, variance & standard deviation of contract award amount (in millions of dollars)?