Question

In: Statistics and Probability

3. The following data show the number of days between release and rearrest for a group...

3. The following data show the number of days between release and rearrest for a group of parolees who were returned to prison. With this frequency distribution, for each value in this distribution, calculate the cumulative frequency, proportion, cumulative proportion, percent, and cumulative percent.

Number of Days to Rearrest

f

0

1

2

4

8

10

14

30

90

120

245

32

23

25

21

25

20

16

12

11

11

33

  1. What proportion of parolees were rearrested 10 days after their release?

  1. What percentage of parolees were rearrested 120 days after their release?
  1. What proportion of parolees were rearrested 14 days after their release or earlier?
  1. What percentage of parolees were rearrested 30 days after their release or earlier?

Solutions

Expert Solution

Solution:

Number of Days to Rearrest f Cumulative Frequency Proportion Cumulative Proportion Percent Cumulative Percent
0 32 32 0.1397 0.1397 13.9738 13.9738
1 23 55 0.1004 0.2402 10.0437 24.0175
2 25 80 0.1092 0.3493 10.9170 34.9345
4 21 101 0.0917 0.4410 9.1703 44.1048
8 25 126 0.1092 0.5502 10.9170 55.0218
10 20 146 0.0873 0.6376 8.7336 63.7555
14 16 162 0.0699 0.7074 6.9869 70.7424
30 12 174 0.0524 0.7598 5.2402 75.9825
90 11 185 0.0480 0.8079 4.8035 80.7860
120 11 196 0.0480 0.8559 4.8035 85.5895
245 33 229 0.1441 1 14.4105 100

What proportion of parolees were rearrested 10 days after their release?

Answer: The proportion of parolees that were rearrested 10 days after their release is:

What percentage of parolees were rearrested 120 days after their release?

Answer: The percentage of parolees that were rearrested 120 days after their release is:

What proportion of parolees were rearrested 14 days after their release or earlier?

Answer: The proportion of parolees that were rearrested 14 days after their release or earlier is:

What percentage of parolees were rearrested 30 days after their release or earlier?

Answer: The percentage of parolees that were rearrested 30 days after their release or earlier is:

orchestra answered 2 years ago
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