Smoking by students and parents refer to exercise 20. calculate three conditional distributions of students’ smoking behavior: one for each of the three parental smoking categories. describe the relationship between the smoking behaviors of students and their parents in a few sentences.

Three conditional distribution for smoking behavior of students and parents will be calculated after identifying the students who smoke and who does not smoke. The table below is,

                 Parents do not smoke     one parent smoke    Parents smoke

Students do not smoke 1168                       1823                       1380

Students smoke              188                           416                        400

Conditional distribution is,

1. Students smoke, both parents smoke:

400 / [400 + 1380] = 0.2247

2. Students do not smoke, parents smoke:

1380 / [400 + 1380] = 0.7753

3. Student smokes, one parent smokes:

416 / [416 + 1823] = 0.1858

4. Students do not smoke, one parent smokes:

1823 / [416 + 1823] = 0.8142

5. Students smoke, parents do not smokes:

188 / [188 + 1168] = 0.1386

6. Students do not smoke, parents do not smoke:

1168 / [188 + 1168] = 0.8614

The conclusion can be drawn here is usually students smokes when they belong to a family where one or both of their parents smoke.

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