Airlines sometimes overbook flights. Suppose that for a plane with 100 seats, an airline takes 110 reservations. Define the variablexas the number of people who actually show up for a sold-out flight. From past experience, the probability distribution ofxis given in the table shown below:

x	95	96	97	98	99	100	101	102
p(x)	.04	.09	.13	.16	.22	.16	.07	.04
x	103	104	105	106	107	108	109	110
p(x)	.04	.01	.02	.005	.005	.005	.0037	.0013

(a) What is the probability that the airline can accommodate everyone who shows up for the flight?

P(airline can accommodate everyone who shows up) =

(b) What is the probability that not all passengers can be accommodated?

P(not all passengers can be accommodated) =

(c) If you are trying to get a seat on such a flight and you are number 1 on the standby list, what is the probability that you will be able to take the flight?

P(number 1 standby will be able to take the flight) =

What if you are number 3?

P(number 3 standby will be able to take the flight) =