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 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 Click here for the Excel Data File a-1. Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.) a-2. Is this a discrete or a continuous probability distribution? b-1. Find the mean and the standard deviation of the number of hours parked. b-2. How long is a typical customer parked? (Round your answer to 3 decimal places.) Find the mean and the standard deviation of the amount charged. (Round your answers to 2 decimal places.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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 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 | |||||
Click here for the Excel Data File
a-1. Convert the information on the number of hours parked to a
a-2. Is this a discrete or a continuous probability distribution?
b-1. Find the mean and the standard deviation of the number of hours parked.
b-2. How long is a typical customer parked? (Round your answer to 3 decimal places.)
Find the mean and the standard deviation of the amount charged. (Round your answers to 2 decimal places.)
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