5. In the travel and hospitality industry, no-shows The following discrete proba

Question

5. In the travel and hospitality industry, no-shows The following discrete probability distribution shows the relative frequency of no-shows each day are people with reservations who fail to arrive. at a Florida beach resort hotel over the past 6 months: Number of No-showsRelative Frequency 2 3 4 .05 .30 40 .15 .10 a. What is the mean number of no-shows per day? (5 points) b. What is the probability that there will be at least one no-show today? (5 points) The assistant manager has had a request for a room today, but all of the rooms have been reserved. Should she overbook and tell the person he can have a room? Explain based on your calculations from both parts a and b. (5 points)

Explanation / Answer

a) here from given data:

mean number of no-shows =E(X)=0*0.05+1*0.3+2*0.4+3*0.15+4*0.10=1.95

b)

P(at least one no show)=1-P(0 no shows)=1-0.05 =0.95

c)

as probability of at least one no show is significantly high ; also mean number of no shows are greater than 1; therfore she should overbook and tell the person that he can have a room

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