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