Answer:
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=
Left side = 0.08
Since two sides do not equal the two events are not independent.