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kingjaydee3415
20.09.2019 •
Mathematics
Suppose that in a certain population of married couples, 30% of the husbands smoke, 20% of the wives smoke, and in 8% of the couples both the husband and the wife smoke. is the smoking status (smoker or non-smoker) of the husband independent of that of the wife? why or why not?
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Ответ:
Not independent
Step-by-step explanation:
Given that in a certain population of married couples, 30% of the husbands smoke, 20% of the wives smoke, and in 8% of the couples both the husband and the wife smoke.
Let A be the event that husbands smoke and B the event that wives smoke
Give that
To check whether A and B are independent it is sufficient to check
P(A\bigcap B)=P(A)P(B)
Right side=![P(A)P(B)\\=0.3(0.2)\\=0.06](/tpl/images/0245/2649/66324.png)
Left side = 0.08
Since two sides do not equal the two events are not independent.
Ответ: