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.