In the country XYZ, women obtain 54% of the bachelor's degrees and 20% of all bachelor's degrees are in business. Suppose further that 8% of all bachelors degrees go to women majoring in business. 1)What is the chance that a randomly selected person is a man?
a)0.72
b)0.50
c)it cannot be determined
d)0.46
2)a random person with a bachelor's degree in business is selected. What is the probability that the person is a women?
a)0.54
b)0.25
c)0.40
d)0.30
3)Event w='a person is a woman with bachelor's degree' , event b='a person has bachelors degree in business.'.Are the events w and b independent?
a)no, since these are unrelated things
b)no since P(w\b)not equal P(w)
c)it cannot be determined
d)yes since P(b\w) = P(b)