Suppose that a long distance taxi service owns 4 vehicles. These are of different ages and have different repair records. The probabilities that, on a given day, each vehicle will be available for use are: 0.90, 0.90, 0.80, 0.70. Whether one vehicle is available is independent of whether any other vehicle is available. a. Find the probability distribution for the number of vehicles available for use on a given day. b. Find the expected number of vehicles available for use on a given day. c. Find the standard deviation of the number of vehicles available for use on a given day. Round your answer to four decimal points

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