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17 March, 07:40

A toll bridge charges $2 for passenger cars and $4.5 for other vehicles. Suppose that 80% of all cars passing from this bridge are passenger cars. If in a day40 vehicles cross the bridge, compute the expected toll revenue from all thesevehicles. You should use terminology of random variables to justify your steps. Hint: Let X be the number of passenger cars, then the toll revenue is a linearfunction of X ...

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  1. 17 March, 11:08
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    Let a be the total passenger cars

    Let b be the total other vehicles

    Let r be the toll revenue

    Given that passenger rate is $2 and other vehicles rate is $4.5, the toll revenue can be calculated using the linear function as follows:

    r = 2a + 4.5b

    Given that 80% of all cars are passenger cars and the total vehicles is 40

    a = 0.8 x 40 = 32

    b = 0.2 x 40 = 8

    r = 2a + 4.5b = (2 x 32) + (4.5 x 8) = 64 + 36 = 100

    The expected toll revenue is $100
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