Hello, I managed to figure out (a) and (b) however I can\'t figure out (c) and (

Question

Hello, I managed to figure out (a) and (b) however I can't figure out (c) and (d). Thanks!

The Canadian Tobacco Monitoring Survey is a national survey administered by Statistics Canada to study smoking trends of Canadians aged 15 or older. The most recent survey found that 19.47% of Canadians aged 15 years or older smoke on a daily basis. In addition, 21% of men are smokers, and 18% of women are smokers. The most recent census shows that men make up 49% of the Canadian population, with women making up the remainder. You randomly pick a Canadian that is 15 years old or older.

a) is male and a smoker? 0.1029

Part (b) is a women and not a smoker? 0.4182

Part (c) What percentage of smokers are male?

Part (d) What percentage of smokers are women?

Explanation / Answer

P(smoker)=0.1947

P(men smoke)=0.21

P(women smoke)=0.18

P(men)=0.49 and thus P(women)=1-0.49=0.51

Part (c) What percentage of smokers are male?

=P(male and smoker)/P(smoker) =0.1029/0.1947 =0.52851

Part (d) What percentage of smokers are women?

=P(women and smoker)/P(smoker)=0.18*0.51/0.1947 =0.47149

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