Airlines routinely overbook flights because they expect a certain number of no-shows. An airline runs a 5 PM commuter flight from Washington, D.C., to New York City on a plane that holds 38 passengers. Past experience has shown that if 41 tickets are sold for the flight, then the probability distribution for the number who actually show up for the flight is as shown in the table below. Assume that 41 tickets are sold for each flight. 8. What is the probability that all Number who 36 37 38 39 40 41 passengers who show up for this flight actually show up Probability 0.46 0.16 0.05 0.01 will get a seat? Show your reasoning. 0.30 0.02 . 46+, 30#. 167.92 . W 9. What is the probability that not all passengers who show up for this flight will get a seat? Show your reasoning, 10.Out of three flights, what is the probability that at least 1 passenger will show up that will not get a seat? Show your reasoning. 11. Given that not all passenger seats are filled on a flight, what is the probability that only 36 passengers showed up for the flight? Show your reasoning. 46 3 Planly showingup not all seats filled) Plonly 36 Stayed up Sect aren't filled) 46 t, 30 = 605 P (not all sects filled)