A survey of a sample of business students resulted in the following information

Question

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

Selected Major

Gender          Management            Marketing             Others           Total
Male                     40                        10                       30                80
Female                 30                        20                       70               120
Total                    70                        30                      100               200

a. What is the probability of selecting an individual who is majoring in Marketing?
b. What is the probability of selecting an individual who is majoring in Management, given that the person is female?
c. Given that a person is male, what is the probability that he is majoring in Management?
d. What is the probability of selecting a male individual?

Explanation / Answer

P(s) = n(s)/N; where s is a successful outcome, n(s) is the number of possible successful outcomes, and N is the number of all possible outcomes from a single trial/experiment. In your case n(s = marketing) = 30; N = 200 for the first question. so you'll have 30/200=0.15 n(s = mgt|female) = 30; N(female) = 120 for the second so you'll have 30/120=0.25 n(s = mgt|male) = 40: N(male) = 80 for the third probability 40/80=1/2=0.5 n(s = male) = 80; N = 200 for the fourth, probability 80/200=0.4

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