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You are trying to transport all your friends to a concert in seven vehicles. Two vans each have 15 seats, four SUVs each have 7 seats, and one car has 5 seats.

a. What is the average vehicle size assuming each vehicle is filled to capacity?

b. Space is available for 63 friends. Suppose that each vehicle is filled to capacity and select a friend at random. Let the random variable X equal the number of friends in that friend's vehicle. Define the PDF for X.

c. Find the mean of X.

d. Find the standard deviation of X.

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