The Downtown Parking Authority of Tampa, Florida, reported the following informa
ID: 2353244 • Letter: T
Question
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
Total 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 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
Explanation / Answer
Frequency Amount Charged
20 $3.00 38 6.00 53 9.00 45 12.00 40 14.00 13 16.00 5 18.00 36 20.00 250
Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.)
Hours Probability
0.08
0.152
0.212
0.18
0.16
0.052
0.02
0.144
Number of Hours 1 2 3 4 5 6 7 8
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Is this a discrete or a continuous probability distribution?
This is a discrete probability distribution for the random variable called number of hours because it is expected that the cars to be park only for a certain number of hours like 1, 2, 3, etc.
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Find the mean and the standard deviation of the number of hours parked. (Round your answer to 2 decimal places.) = 1 0.08 + 2 0.152 + 3 0.212 + 4 0.18 + 5 0.16 + 6 0.052 + 7 0.02 + 8 0.144 = 4.14 2
= 9.86 0.08 + 4.58 0.152 + 1.3 0.212 + 0.02 0.18 + 0.74 0.16 + 3.46 0.052 + 8.18 0.02 + 14.9 0.144
= > 2 = 4.38 = > = 2.093
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