Assume that an airline operates a 172-seat McDonnel Douglas MD-88 on a particular route. Historically, the probability of a passenger showing up for a flight is 99%. 1. Assume that 172 tickets were sold. Let X be the number of passengers who showed up for the flight. a. Describe the distribution of X: X~B (n=172 p= 0.99 b. Find the probability that the flight is not full, in other words, find the probability that not all passengers will show up: P(X ≤ 172 x 1.0000 x (Round the answer to 4 decimal places) c. Find the expected number of passengers who show up for the flight: EX] = 170 (Round the answer to the whole number) d. Find the expected number of empty seats by subtracting the E[X] from the plane capacity: (Round the answer to the whole number) 2. Assume that the airline sells 1 more ticket(s). Let Y be the number of passengers who showed up for the flight. a. Describe the distribution of Y: Y? (n = b. Find the probability that more passengers will show up than the plane can carry: P(Y> (Round the answer to 4 decimal places) ₂p=

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