The university library records the number of books checked out by each patron over the course of one day, with the following result:
x P(x)
0 0.20
1 0.45
2 0.20
3 0.10
4 0.05
a. Define the random variable X for this example.
b. Verify that the table meets the criteria for a discrete probability distribution.
c. Find the mean of the discrete probability distribution.