The Downtown Parking Authority of Tampa, Florida, reported the following informa

Question

The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 232 customers on the number of hours cars are parked and the amount they are charged. Convert the information on the number of hours parked to a probability distribution. Is this a discrete or a continuous probability distribution? Discrete Continuous Find the mean and the standard deviation of the number of hours parked. (Do not round intermediate calculations. Round your final answers to 3 decimal places.) Mean Standard deviation How long is a typical customer parked? (Do not round intermediate calculations. Round your final answers to 3 decimal places.) The typical customer is parked for hours c. Find the mean and the standard deviation of the amount charged. (Do not round intermediate calculations. Round your final answers to 3 decimal places.) Mean Standard deviation

Explanation / Answer

a) probability = frequency/232

a-2) This is discrete probability distribution

b-1)

Mean = (sum of number of hours parked)/8 = 4.5 (xbar)

std. dev. = sqrt(42/8) = 2.2913

b-2) Typical customer is parked for 4.5 hours.

c) Mean = (sum of amount charged)/8 = 18 (xbar)

std. dev. = sqrt(2020/8) = 8.9574

Number of hours Frequency Probability 1 19 0.0819 2 35 0.1509 3 52 0.2241 4 39 0.1681 5 32 0.1379 6 15 0.0647 7 8 0.0345 8 32 0.1379

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