SOLUTION: An airport limousine can accommodate up to 4 passengers on any trip. The company will accept a maximum of 6 reservations for a trip and a passenger must have a reservation. From

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Question 344831: An airport limousine can accommodate up to 4 passengers on any trip. The company will accept a maximum of 6 reservations for a trip and a passenger must have a reservation. From previous records, 45% of those making reservations do not appear for the trip.
a) If 6 reservations are made, what is the probability that at least 1 person cannot be accommodated on the trip?

b) If 6 reservations are made, what is the expected number of available places when the limousine departs?
c) Suppose the probability distribution of the number of reservations made is given in the accompanying table.
Number of reservations 3 4 5 6
Probability 0.1 0.2 0.3 0.4
Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
Answer by donrys(1) (Show Source):
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