The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 236 customers on the number of hours cars are parked and the amount they are charged.
Number of Hours | Frequency | Amount Charged | |||
1 | 18 | $ | 3 | ||
2 | 38 | 7 | |||
3 | 50 | 9 | |||
4 | 45 | 12 | |||
5 | 20 | 14 | |||
6 | 16 | 16 | |||
7 | 5 | 18 | |||
8 | 36 | 22 | |||
258 | |||||
a-1. Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.)
Hours | Probability
From the table it doesn't look like there are 236 customers. I think that last row is missing
But i am 9th row has frequency of 8
Hours | Frequency |
1 | 18 |
2 | 38 |
3 | 50 |
4 | 45 |
5 | 20 |
6 | 16 |
7 | 5 |
8 | 36 |
9 | 8 |
So, Total Customers = 236
Hence Probability distribution is founded by :
Pi = Fi / Total Customers
Where Pi = Probability of ith hour
Fi = Frequency(Number) of Customers in ith hour
The table below gives probability distribution of hours:
Hours | Frequency | Probability |
1 | 18 | 0.076 |
2 | 38 | 0.161 |
3 | 50 | 0.212 |
4 | 45 | 0.191 |
5 | 20 | 0.085 |
6 | 16 | 0.068 |
7 | 5 | 0.021 |
8 | 36 | 0.153 |
9 | 8 | 0.034 |
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