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% of Canadians aged 15 years or older smoke on a daily basis. In addition, 22% of men are smokers, and 16% of women are smokers. The most recent census shows that men make up 50% of the Canadian population, with women making up the remainder. You randomly pick a Canadian that is 15 years old or older. What is the probability this person a) Is male and a smoker? b) is a women and not a smoker? c) What percentage of smokers are male? d) What percentage of smokers are women? I think I've got 1/2 of a probability table figured out, P(Male) = 0.5 P(Male complement) = 0.5, P(Smoker) = 0.19 P(Smoker Complement) = 0

InjegoIrrenia1mk

InjegoIrrenia1mk

Answered question

2022-11-07

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% of Canadians aged 15 years or older smoke on a daily basis. In addition, 22% of men are smokers, and 16% of women are smokers.
The most recent census shows that men make up 50% of the Canadian population, with women making up the remainder.
You randomly pick a Canadian that is 15 years old or older. What is the probability this person
a) Is male and a smoker?
b) is a women and not a smoker?
c) What percentage of smokers are male?
d) What percentage of smokers are women?
I think I've got 1/2 of a probability table figured out,
P(Male) = 0.5
P(Male complement) = 0.5,
P(Smoker) = 0.19
P(Smoker Complement) = 0.81
I'm just stuck on how to fill in the middle. Would appreciate any help!

Answer & Explanation

barene55d

barene55d

Beginner2022-11-08Added 23 answers

"What is the probability that a Canadian who is at least 15 years old is male and a smoker?"
Let M denote the set of males; let S denote the set of smokers. Then the probability we seek is
P ( M S ) = P ( S M ) P ( M ) = 0.22 0.5 = 0.11
as you found.
What is the probability that a Canadian who is at least 15 years old is female and a non-smoker?
Let F denote the set of females; let S denote the set of smokers. Then the probability we seek is
P ( F S C ) = P ( S C F ) P ( F ) = ( 1 0.16 ) ( 0.5 ) = 0.84 0.5 = 0.42
again as you found.
"What percentage of smokers are male? "
We need to find the probability that a person is male given that the person is a smoker.
P ( S M ) = P ( M S ) P ( S ) = P ( M S ) P ( M S ) + P ( F S ) = P ( S M ) P ( M ) P ( S M ) P ( M ) + P ( F M ) P ( F ) = 0.22 0.5 0.22 0.5 + 0.16 0.5 = 0.11 0.11 + 0.08 = 0.11 0.19 = 11 19
which you can convert into a percentage.
"What percentage of smokers are women?"
Subtract the percentage of smokers who are male from 100%.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?