Question

Problem 5

A survey was taken of 100 randomly selected individuals and each was asked if they smoke. Of the 60 men who where surveyed 19 said they smoked. Of the women interviewed, 28 said they do not smoke.

Complete the probability table and answer the questions.

	Smoker	Non-smoker
Men	19	41
Women	32	28

Conditional Probability
Questions		Answers
e.	What is the probability of randomly selected a man who smokes?
f.	What is the probability of randomly selecting a man?
g.	What is the probability of randomly selecting someone who smokes?
h.	What is the probability of randomly selecting a man who smokes?
i.	Out of a group of smokers, what is the probability of randomly selected a man?

Answer 1

	Smoker	Non-Smoker
Men	19	41	60
Women	12	28	40
	31	69	100

e.

What is the probability of randomly selected a man who smokes?

P(the man who smokes)=19/100 = 0.19

f.

What is the probability of randomly selecting a man?

P(men)=0.6

g.

What is the probability of randomly selecting someone who smokes?

P(Smoker)=31/100=0.31

h.

What is the probability of randomly selecting a man who smokes?

P(the man who smokes)=19/100 = 0.19

i.

Out of a group of smokers, what is the probability of randomly selected a man?

P(Men|Smoker) = 19/100/31/100=19/31= 0.6129