Problema Solution

A study finds that 64 % of the faculty in a university are males and 54 % of the faculty in the university are tenured. If tenure is independent of gender what are the following probabilities?

a) Probability that a randomly chosen faculty member is an untenured male?

b) Probability that a randomly chosen faculty member is an untenured female?

Answer provided by our tutors

a) P(faculty member is an untenured male) = (1 - 0.54)*0.64 = 0.2944

b) P(faculty member is an untenured female) = (1 - 0.54)*(1 - 0.64) = 0.1656