Determine whether the distribution is a discrete probability distribution.   x ​P(x)   0 0.21 1 0.28 2 0.02 3 0.28 4 0.21 Is the distribution a discrete probability​ distribution? Why? Choose the correct answer below.

Airlines sometimes overbook flights. Suppose that for a plane with 100 seats, an airline takes 110 reservations. Define the variable x as the number of people who actually show up for a sold-out flight. From past experience, the probability distribution of x is given in the table shown below. X 95 96 97 98 99 What if you are number 3? 0.23 100 p(x) 0.06 0.09 0.12 0.14 x 103 104 105 106 p(x) (a) What is the probability that the airline can accommodate everyone who shows up for the flight? 107 0.15 101 108 0.07 109 102 (b) What is the probability that not all passengers can be accommodated? 0.05 0.04 0.02 0.01 0.005 0.005 0.005 0.0039 0.0011 110 (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?

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Does the given table determine a probability distribution?