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A contractor has submitted bids on three state jobs: an ofce building, a theater. and a parking garage. State rules do not allow a contractor to be offered more than one of these jobs. If this contrac- tor is awarded any of these jobs. the prots earned from these contracts are $10 million from the of- fice building, $5 million from the theater. and $2 million from the parking garage. His prot is zero if he gets no contract. The contractor estimates that the probabilities of getting the ofce building contract. the theater contract, the parking garage contract. or nothing are .15, .30, .45, and .10. respec- tively. Let x be the random variable that represents the contractor's prots in millions of dollars. Write the probability distribution of I. Find the mean and standard deviation of I. Give a brief interpretation of the values of the mean and standard deviation