The Downtown Parking Authority of Tampa, Florlda, reported the following Informa

Question

The Downtown Parking Authority of Tampa, Florlda, reported the following Information for a sample of 235 customers on the number of hours cars are parked and the amount they are charged. Number of Hours Frequency Amount Charged 25 4e 52 45 2e 12 12 18 28 235 a-1. Convert the Information on the number of hours parked to a probablity distribution. (Round your answers to 3 decimal pleces.) bility e-2. ls thls a discrete or a continuous probablity distribution? Discrete Continuous b-1. Find the mean and the standard devlation of the number of hours parked. (Do not round the Intermediate calculetions. Round your final answers to 3 decimal places.) Mean Standard deviation b-2. How long is a typical customer parked? (Do not round the Intermedlate calculations. Round your final answer to 3 declmal places.) customer is parked hours c. Find the mean and the standard deviation of the amount charged. (Do not round the Intermedlate calculetions. Round your final answers to 3 decimel places. Mean Standard deviation

Explanation / Answer

1.

2)

This is discrete probability distribution

3)

Mean = 936/235 = 3.98 (xbar)

variance = 44.1285/235 = 0.1878

std. dev. = sqrt(0.1878) = 0.4334

4)

typical customer parked for 3.98 hours

5)

Mean = 2414/ 235 = 10.272

variance = 424.06/235 = 1.8

std.dev. = 1.3433

Hours Frequency(fi) Probability(fi/235) 1 25 0.10638 2 40 0.17021 3 52 0.22128 4 45 0.19149 5 20 0.08511 6 12 0.05106 7 5 0.02128 8 36 0.15319

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