Answer:
Step-by-step explanation:
a)
P(f ) = probability of being female = .3
P(m ) Probability of being male = .7
P(s/m) = probability of having a smoker worker given that he is a male = .6
P(s/f) = probability of having a smoker worker given that he is a male = .4
p(s) = p(m) x p(s/m) + p(f) x P(s/f)
= .7 x .6 + .4 x .3
= .42 + .12
= .54
b )
p (m/s) = probability that this person will be a male,Given that this person is a smoker
p(m) x p(s/m) / [ p(m) x p(s/m) + p(f) x P(s/f) ]
= .7 x .6 / .7 x .6 + .4 x .3
= .42 / .54
= .78
c )
Probability of the person being a smoker and male
= .54 x .78 = .42
probability of a person being a male and non smoker = .7 - .42 = .28
probability of a person being a non smoker and female = .46 -.28 =.18
probability that person will be a smoker or a male
= 1 - (a person being a non smoker and female).
= 1 - .18
= .82 .
