most two C between one and three inclusive F Driscoll and N

most two. C) between one and three, inclusive F. Driscoll and N. A. Weiss discussed the modeling of motel reservation networks in \"An Application of Queuing Theory to Reservation Networks\" (TIMS, 1976, Vol. 22, 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 of Type 1 calls per hour has a Poisson distribution with parameter = 1.7. Find the probability that the number of Type I calls made from this motel during a period of 1 hour will be a) exactly one. b) at most two. c) at least two.

Solution

Let X be the no of Type I calls per hour

X is Poisson with mean = 1.7

a) Prob (x=1) = 0.3106

b) P(x<=2) = 0.7572

c) P(x>=2) =0.5068