11. Get on the boat! A small ferry runs every half hour from one side of a large river to the other. The
probability distribution for the random variable
Y = money collected on a randomly selected ferry trip
is shown here. From Exercise 7, My = $19.35.
Money collected
Probability
0 5 10 15 20 25
0.02 0.05 0.08 0.16 0.27 0.42
(a) Construct the cumulative probability distribution for Y.
(b) Use the cumulative probability distribution to find the
median of Y.
(c) Compare the mean and median. Explain why this
relationship makes sense based on the probability
distribution