The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 250 customers on the number of hours cars are parked.

Number of Hours                                     Frequency
1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   5
8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   3
                                                                          250

a. Convert the information on the number of hours parked to a probability distribution. Is this a discrete or a continuous probability distribution?

b. Find the mean and the standard deviation of the number of hours parked. How would you answer the question: How long is a typical customer parked?

c. What is the probability that a car would be parked for more than 6 hours? What is the probability that a car would be parked for 3 hours or less?