The downtown parking authority of tampa, florida, reported the following information for a sample of 220 customers on the number of hours cars are parked and the amount they are charged.
number of hours frequency amount charged
1 19 $ 2
2 35 8
3 44 10
4 40 16
5 34 22
6 15 24
7 3 27
8 30 29
220
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. find the mean and the standard deviation of the amount charged.

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1