The parking authority in downtown Halifax 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 |
2 | 38 | 6 |
3 | 53 | 9 |
4 | 45 | 12 |
5 | 40 | 14 |
6 | 13 | 16 |
7 | 5 | 18 |
8 | 36 | 20 |
Total | 250 | |
a-1. Convert the information on the number of hours parked to a probability distribution. (Round the final answers to 3 decimal places.)
Hours | Probability |
1 | |
2 | |
3 | |
4 | |
5 | |
6 | |
7 | |
8 | |
a-2. Is this a discrete or a continuous probability distribution?
(Click to select) Continuous Discrete
b-1. Find the mean and the standard deviation of the number of hours parked. (Round the final answers to 3 decimal places.)
Mean
Standard deviation
b-2. How would you answer the question, how long is a typical customer parked? (Round the final answer to 3 decimal places.)
The typical customer is parked for hours.
c. Find the mean and standard deviation of the amount charged. (Round the final answers to 2 decimal places.)
Mean
Standard deviation
a1
Hrs | Probty | amt charged Y |
1 | 20/250 = 0.08 | 3 |
2 | 0.152 | 6 |
3 | 0.212 | 9 |
4 | 0.180 | 12 |
5 | 0.160 | 14 |
6 | 0.052 | 16 |
7 | 0.020 | 18 |
8 | 0.144 | 20 |
a-2 This is Discrete distribution.
b-1
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