Question

A toll bridge charges $1.00 for passenger cars and $2.50 for other vehicles. suppose that during daytime hours, 60% of all vehicles are passenger cars. if 25 vehicles cross the bridge during a particular daytime period, what is the resulting expected toll revenue? hint: let ???? = the number of passenger cars out of 25. start by identifying the type of discrete random variable ???? is. then, create a linear function of ???? to represent the toll revenue. finally, find the expected value of the function that represents the toll revenue.

Answer 1

Number of passenger cars = 60% of 25
Number of passenger cars = 0.6 x 25
Number of passenger cars = 15

Number of Other Vehicles = 25 - 15
Number of Other Vehicles = 10

Revenue from passenger cars = $1.00 x 15
Revenue from passenger cars = $15.00

Revenue from Other Vehicles = $2.50 x 10
Revenue from Other Vehicles = $25.00

Total Revenue = $15.00 + $25.00
Total Revenue = $40.00