Benny's Barber Shop in Cleveland has five chairs for waiting customers. The number of customers waiting is a random variable Y with the following probability distribution.

a. Compute and interpret the mean of the random variable Y .
b. In a large number of independent observations, how many customers will be waiting, on average?
c. Use the technology of your choice to simulate 500 observations of the number of customers waiting.
d. Obtain the mean of the observations in part (c) and compare it to μY .
e. What does part (d) illustrate?

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P(Y=y)| 0.424 0.161 0.134 0.111 0.093 0.077