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)