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.

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.