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The average number of vehicles waiting in line to enter a sports arena parking lot is modeled by the function w (x) = x^2/2 (1-x), where x is a number between 0 and 1 known as the traffic intensity. Find the average number of vehicles waiting if the traffic intensity is 0.92 ...?

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  1. 1 April, 20:52
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    There are several information's that are already given in the question. Based on those given information's, the answer can be easily deduced.

    w = 0.92

    Then

    w (x) = x^2/2 (1-x)

    w (0.92) = (0.92) ^2/2 (1 - 0.92)

    = 0.8464/0.16

    = 5.29

    From the above deduction, it can be concluded that the average number of vehicles waiting is 5.29.
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