In Example 18.6-1, do the following:

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(a) Compute Lq directly using the formula g

n = c + 11n - c2pn.

(b) Compute Ws from Lq.

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(c) Compute the average number of cars that will not be able to enter the parking lot during an 8-hr period.

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(d) By definition, the average number of empty spaces can be computed as c - 1Ls - Lq2 or gc - 1 n = 01c - n2pn. Show that the second definition can be derived directly from the first using algebraic manipulations.