Find the mean of the given probability distribution. The number of golf balls ordered by customers of a pro shop has the following probability distribution. X.       P(x) 3.         0.14 6.         0.29 9.          0.36 12.         0.11 15.          0.10

The following probability distribution show the probability of a car salesman selling x cars in a given week. Use the table to answer the questions. Number of Cars (x) Sold P(x) 0.07 0.12 2 0.16 3 0.24 0.20 0.11 6. 0.10 What is the probability the salesman sold exactly 1 car? What is the probability the salesman sold at least 3 cars? What is the probability the salesman sold at most 2 cars? What is the probability the salesman sold more than 4 cars?

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?

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. 95 96 97 98 99 100 101 102 P(x) 0.06 0.09 0.12 0.14 0.23 0.15 0.07 0.05 103 104 105 106 107 108 109 110 p(x) 0.04 0.02 0.01 0.005 0.005 0.005 0.0031 0.0019 (a) What is the probability that the airline can accommodate everyone who shows up for the flight? (b) What is the probability that 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? What if you are number 3?