SOLUTION: An airline knows that on average, 95% of passengers who reserve seats show up for their flight. On a particular flight with 100 seats, the airline accepts 105 reservations. (a) I

Question 851782: An airline knows that on average, 95% of passengers who reserve seats show up for their flight. On a particular flight with 100 seats, the airline accepts 105 reservations.
(a) If passengers show up independently of one another, find the probability that the flight will be overbooked.
(b) Suppose that among the 105 reservations there is a party of three (say a husband, a wife, and a toddler) that will travel together, that is, the three passengers will either show up at the gate together with 95% chance, or not show up at all with 5% chance. Assume the rest of the passengers travel alone. Recalculate the probability that the flight will be overbooked.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
p = .95
a. P(x > 100) = 1 � binomcdf(105, .95, 100)
b might recommend considering the family as one unit. n = 102
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