Homework SourseConvert the data on frequency into a distribution of probabi
Convert the data on frequency into a distribution of probabilities. (Round your answers to 3 decimal places.)
How long is a typical customer parked? (Round your answer to 3 decimal places.)
| (a) | Convert the data on frequency into a distribution of probabilities. (Round your answers to 3 decimal places.) |
Solution
The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 233 customers on the number of hours cars are parked and the amount they are charged.
(a)
Convert the data on frequency into a distribution of probabilities. (Round your answers to 3 decimal places.)
Numberofhour
Frequency
Probability
Amountcharged
1
16
0.069
2
2
37
0.159
7
3
51
0.219
12
4
41
0.176
17
5
37
0.159
19
6
13
0.056
24
7
9
0.039
26
8
29
0.124
29
233
1.000
B1)Find the mean and the standard deviation of the number of hours parked. (Round your intermediate values and final answers to 3 decimal places.)
(b-2)
X
P(X)
x*p(x)
(x-mean)^2*p(x)
1
0.069
0.06867
0.677758
2
0.159
0.317597
0.728341
3
0.219
0.656652
0.285276
4
0.176
0.703863
0.00353
5
0.159
0.793991
0.117002
6
0.056
0.334764
0.192687
7
0.039
0.270386
0.31559
8
0.124
0.995708
1.85289
1.000
4.141631
4.173074
2.04281
Mean
4.142
Variance
4.173
SD
2.043
How long is a typical customer parked? (Round your answer to 3 decimal places.)
Answer = 4.142 hours
C)Find the mean and the standard deviation of the amount charged.(Round your intermediate values andfinal answers to 3 decimal places.)
X
P(X)
x*p(x)
(x-mean)^2*p(x)
2
0.069
0.137339
13.14747
7
0.159
1.111588
12.40071
12
0.219
2.626609
3.222385
17
0.176
2.991416
0.238043
19
0.159
3.017167
1.588799
24
0.056
1.339056
3.717891
26
0.039
1.004292
3.989681
29
0.124
3.609442
21.56541
1.000
15.83691
59.8704
7.737596
Mean
15.837
Variance
59.870
SD
7.738
| Numberofhour | Frequency | Probability | Amountcharged |
| 1 | 16 | 0.069 | 2 |
| 2 | 37 | 0.159 | 7 |
| 3 | 51 | 0.219 | 12 |
| 4 | 41 | 0.176 | 17 |
| 5 | 37 | 0.159 | 19 |
| 6 | 13 | 0.056 | 24 |
| 7 | 9 | 0.039 | 26 |
| 8 | 29 | 0.124 | 29 |
| 233 | 1.000 |
