SOLUTION: The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 225 customers on the number of hours cars are parked and the amount they are ch

Question 1105924: The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 225 customers on the number of hours cars are parked and the amount they are charged.

Number of Hours Frequency Amount Charged
1 15 $ 2
2 38 5
3 50 9
4 45 13
5 20 14
6 16 16
7 5 18
8 36 20
225

a-1. Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.)
Hours / Probability
1 ?
2 ?
.?
.?
.?
8.?

a-2. Is this a discrete or a continuous probability distribution
()Discrete
()Continuous

b-1. Find the mean and the standard deviation of the number of hours parked. (Do not round the intermediate calculations. Round your final answers to 3 decimal places.)

b-2. How long is a typical customer parked? (Do not round the intermediate calculations. Round your final answer to 3 decimal places.)

c. Find the mean and the standard deviation of the amount charged. (Do not round the intermediate calculations. Round your final answers to 3 decimal places.)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Number of Hours Frequency Amount Charged
1 15 $2
2 38 5
3 50 9
4 45 13
5 20 14
6 16 16
7 5 18
8 36 20
225

a-1. Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.)
Hours / Probability
1/ 15/225
2/ 38/225
3/ 50/225
et cetera
.?
.?
8.?

a-2. Is this a discrete or a continuous probability distribution
()Discrete:: yes
()Continuous
b-1. Find the mean and the standard deviation of the number of hours parked. (Do not round the intermediate calculations. Round your final answers to 3 decimal places.)
Multiply (# of hours) times (frequency)
Add those products
Divide by the sum of the frequencies to get the mean.
I'll leave the standard deviation to you.
b-2. How long is a typical customer parked? (Do not round the intermediate calculations. Round your final answer to 3 decimal places.)
That is the mean of b-1
c. Find the mean and the standard deviation of the amount charged. (Do not round the intermediate calculations. Round your final answers to 3 decimal places.)
Multiply (cost per hour) times (frequency)
Add those products
Divide by the sum of the frequencies.
-----------
Cheers,
Stan H.
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