Answered: Motel Reservations. M. Driscoll and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Motel Reservations. M. Driscoll and N.Weiss discussed the modeling and solution of problems concerning motel reservation networks in “An Application of Queuing Theory to Reservation Networks” (TIMS, Vol. 22, No. 5, pp. 540–546). They defined a Type 1 call to be a call from a motel’s computer terminal to the national reservation center. For a certain motel, the number, X, of Type 1 calls per hour has a Poisson distribution with parameter λ = 1.7. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be

a. exactly one.

b. at most two.

c. at least two. (Hint: Use the complementation rule.)

d. Find and interpret the mean of the random variable X.

e. Determine the standard deviation of X.

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