Question

The probability of a randomly selected employee of a company being male is 60%. The probability of the employee being less than 30 years old is 70%. If the probability of the employee being less than 30 years old given that the employee is a male is 40%, what is the probability that the employee is a male, given that the employee is less than 30 years old?

Answer 1

do you know baye's rule?

Answer 2

No I'm not familiar, this is the only question I can't figure out.

Answer 3

I'm not sure which techniques are at your disposal
are you familiar with conditional probability, i.e. notation like P(A|B) for "the probability of A given B" ?

Answer 4

I'm familar with conditional

Answer 5

ok, so the probability that the employee is male is
\[P(M)=P(<30)P(M|<30)\]the probabiliy that the employee is less than thirty is\[P(<30)=P(M)P(<30|M)\]you know all the values except for \(P(M|<30)\), so rearrange and solve for that