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 Charged1 20 $3.002 38  6.003 53  9.004 45  12.005 40  14.006 13  16.007 5  18.008 36  20.00  250     Click here for the Excel Data File a-1. Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.)a-2. Is this a discrete or a continuous probability distribution?b-1. Find the mean and the standard deviation of the number of hours parked.b-2. How long is a typical customer parked? (Round your answer to 3 decimal places.)Find the mean and the standard deviation of the amount charged. (Round your answers to 2 decimal places.)

Question
Asked Oct 17, 2019
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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
    250      
 

 

Click here for the Excel Data File

 

a-1. Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.)

a-2. Is this a discrete or a continuous probability distribution?

b-1. Find the mean and the standard deviation of the number of hours parked.

b-2. How long is a typical customer parked? (Round your answer to 3 decimal places.)

Find the mean and the standard deviation of the amount charged. (Round your answers to 2 decimal places.)

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Expert Answer

Step 1

Given information:

Sample size (n) = 250

The number of hours cars are parked and the amount they are charged is:

Table 1

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

 

Step 2

a-1

Explanation:

Let x is a random variable of hours car are parked.

The probability formula for each frequency is:

f
Probability
N
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f Probability N

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Step 3

Here, N is population size and f  is frequency.

Convert the information on the number of hou...

Probability
P(Xx)=Px)
Number of
Amount
Frequency
f
Charged
Hours
х
20
$3.00
1
20
= 0.080
250
2
$6.00
38
38
= 0.152
250
$9.00
3
53
53
= 0.212
250
$12.00
4
45
45
= 0.180
250
$14.00
40
40
= 0.160
250
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Probability P(Xx)=Px) Number of Amount Frequency f Charged Hours х 20 $3.00 1 20 = 0.080 250 2 $6.00 38 38 = 0.152 250 $9.00 3 53 53 = 0.212 250 $12.00 4 45 45 = 0.180 250 $14.00 40 40 = 0.160 250

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