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Answer 1 · 2017-07-18T09:52:46

There are 15 smokers (regardless of their sex)

Total population in your group is
#P=34 + 16 = 50#

Since 30% of this group smokes, you can compute number of smokers (S) regardless of their sex:
#S=0.30times50=15#

15 smokers, 5 more male-smoking compared to female smokers.

Therefore, you can write

#F + (F+5) =15#

where,

F stands for female smokers. Therefore #F=5# and male-smokers (M) is #F+5 = 10#.

Male-smokers = 10
Male-nonsmokers = 6
Female-smokers = 5
Female-nonsmokers = 29.

I did not understand the (b) part of the question. I provide the following result:

Smoking rate among males #= 10/16 = 62.5%#
Smoking rate among females #=5/34 = 14.7%#

Smoking rate in this population #=30%#