Question

The parking authority in downtown Halifax reported the following information for a sample of 270 customers on the number of hours cars are parked and the amount they are charged:

Number of Hours	Frequency	Amount Charged
1	19	$3
2	44	6
3	64	9
4	48	12
5	38	14
6	16	16
7	7	18
8	34	20
Total	270

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)DiscreteContinuous

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           

Answer 1

1)

Number of Hours	Frequency	Probability
1	19	0.070
2	44	0.163
3	64	0.237
4	48	0.178
5	38	0.141
6	16	0.059
7	7	0.026
8	34	0.126
Total	270

a-2.
This is discrete PD

b-1.

Number of Hours(X)	Probability (Pi)	Xi*Pi	(Xbar - X)^2*Pi
1	0.070	0.070	0.662
2	0.163	0.326	0.696
3	0.237	0.711	0.270
4	0.178	0.711	0.001
5	0.141	0.704	0.123
6	0.059	0.356	0.221
7	0.026	0.181	0.223
8	0.126	1.007	1.948
Total		4.067	4.144

mean = 4.067

sd = 2.036

b-2.
The typical customer is parked for 4.067 hours.

c)

Amount Charged	Probability (Pi)	Xi*Pi	(Xbar - X)^2*Pi
3	0.070	0.211	0.080
6	0.163	0.978	0.609
9	0.237	2.133	5.768
12	0.178	2.133	11.188
14	0.141	1.970	13.886
16	0.059	0.948	8.438
18	0.026	0.467	5.033
20	0.126	2.519	31.968
Total		11.359	76.970

Mean = 11.359

sd = sqrt(76.97) = 8.773