2. The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 250 customers on the number hours cars are parked and the amount they are charged. Number of Hours Frequency Amount Charged 1 20 $3.00 2 38 6.00 3 53 9.00 4 45 12.00 5 40 14.00 6 13 16.00 7 5 18.00 8 36 20.00 250 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 standard deviation of the number of hours parked. How would you answer the question: How long is a typical customer parked? c. Find the mean and the standard deviation of the amount charged. 3. There are five flights daily from Pittsburg via US Airways into the Branford Regional airport in Bradford, Pennsylvania. Suppose the probability that any flight arrives late is 0.20. a. What is the probability that none of the flights are late today? b. What is the probability that exactly one of the flights is late today? c. What is the probability that all of the flights are late today