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Table 1 Number of Co-occurring Addictive Substances Used by Patients in Selected

ID: 2934670 • Letter: T

Question

Table 1 Number of Co-occurring Addictive Substances Used by Patients in Selected Gambling Treatment Programs

Number of Substances Used

Frequency

0

1

2

3

4

5

6

7

8

9

144

342

142

72

39

20

6

9

2

1

Total

777

3.a. Using Table 1, Construct a table of the relative frequency and the cumulative relative frequency for this discrete distribution.

3.b. What is the probability that an individual selected at random used five addictive substance?

3.c. What is the probability that an individual selected at random used more than six addictive substance?

Number of Substances Used

Frequency

0

1

2

3

4

5

6

7

8

9

144

342

142

72

39

20

6

9

2

1

Total

777

Explanation / Answer

3a)

Number of

Substances used

Cumulative relative

frequency

3b) probability =0.0257

3c) probability =0.0077+0.0116+0.0026+0.0013=0.0232

Number of

Substances used

Frequency relative frequency

Cumulative relative

frequency

0 144 0.1853 0.1853 1 342 0.4402 0.6255 2 142 0.1828 0.8083 3 72 0.0927 0.9010 4 39 0.0502 0.9512 5 20 0.0257 0.9769 6 6 0.0077 0.9846 7 9 0.0116 0.9962 8 2 0.0026 0.9988 9 1 0.0013 1 Total 777 1 ----XX-----