A toll bridge charges $1.50 for passenger cars and $3.00 for other vehicles. Dur

Question

A toll bridge charges $1.50 for passenger cars and $3.00 for other vehicles. During the daytime 70% of all vehicles crossing the bridge are passenger cars. Consider the next 25 vehciles cross the bridge during a particular daytime period.

a. Let X represent the number of passenger cars among the next 25 vehicles that cross the bridge. What is the expected value of X.

b. let Y be the revenue in tolls generated by the next 25 vehicles that cross the bridge. Express Y as a linear function of X.

c. what is the resulting expected tol revenue Y?

Explanation / Answer

a)

expected value = 25* 0.70 = 17.5

b)

Y = 1.50*x + 3* (25-x)

c)

expected revenue

Y = 1.50 * 17.5 + 3*(25-17.5) = $48.75

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