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A Motel has 16 bedrooms. From past experience, the manager knows that 20% of the people who make room reservations dont show

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Answer #1

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a)Probability of show up=1-0.2=0.8

Expected number of customers that will show up=20*0.8=16

b)use binomial distribution with n=20 and p=0.8

P(run out of rooms)=P(x>16)=1-P(x<=16)

=1-binomdist(16,20,0.8,true)

=0.4114

Expected value of compensation=0.4114*100=41.14

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