Question

3. A survey of a sample of business students resulted in the following information regarding the genders of the individuals and their selected major.

Gender	Management	Marketing	Others	Total
Male	30	25	45	100
Female	40	25	35	100
Total	70	50	80	200

Based on the data above, please compute the following probabilities:

(1)	What is the probability of selecting an individual who is majoring in Marketing?
(2)	What is the probability of selecting a male individual?
(3)	Given that a person is male, what is the probability that he is majoring in Management?
(4)	What is the probability of selecting an individual who is majoring in Marketing, given that the person is female?

Answer 1

Q.3)

1) P( marketing ) = 50/200 = 0.25

The probability of selecting an individual who is majoring in Marketing is 0.25

2) P( male ) = 100/200 = 0.50

The probability of selecting a male individual is 0.50

3) P( management given male ) = 30/100 = 0.30

Given that a person is male, then the probability that he is majoring in Management is 0.30

4) P(marketing given female ) = 25/100 = 0.25

the probability of selecting an individual who is majoring in Marketing, given that the person is female is 0.25