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, μY = $19.35.

a. Find the median of Y.

b. Compare the mean and median. Explain why this relationship makes sense based on the probability distribution.

Exercise 7.

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 (in dollars) on a randomly selected ferry trip is shown here.

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Money collected 5 10 15 20 25 Probability 0.02 0.05 0.08 0.16 0.27 0.42