The University of Michigan Health and Retirement Study (HRS) surveys more than 22,000 Americans over the age of 50 every two years. A subsample of the HRS participated in a 2009 Internet-based survey that collected information on a number of topical areas, including health (physical and mental health behaviors), psychosocial items, economics (income, assets, expectations, and consumption), and retirement. Two of the questions asked were "Would you say your health is excellent, very good, good, fair, or poor?" and "Do you smoke cigarettes now?" The two-way table summarizes the answers on these two questions.

HEALTH

CURRENT SMOKER

Yes

No

Excellent

30

489

Very good

120

1562

Good

150

1314

Fair

95

550

Poor

34

16

Looking at the conditional distribution of responses for smokers and nonsmokers, find thepercentagein each of the groups below using the above table.(Enter your answers rounded to one decimal place)

a) (25 pts) Current smoker / Poor

b) (25 pts) Current nonsmoker / Poor

c) (25pts) Current smoker / Excellent

d) (25pts) Current nonsmoker / Excellent

(BONUS10 pts) What are the marginal distribution values of whether the person is a smokeror not?