A survey of a sample of business students resulted in the followinginformation r

Question

A survey of a sample of business students resulted in the followinginformation regarding the genders of the individuals and theirselected 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 ismajoring in Marketing? b. What is the probability of selecting an individual who ismajoring in Management, given that the person is female? c. Given that a person is male, what is the probability that he ismajoring in Management? d. What is the probability of selecting a male individual? Management Marketing Others Total 40 10 30 80 30 20 70 120 70 30 100 200 Gender Management Marketing Others Total Male
40 10 30 80 Female
30 20 70 120 Total 70 30 100 200

Explanation / Answer

(a) P(majoring in Marketing) 30/200= 0.15 (b) P(majoring in Marketing | female) = P(majoring in Marketing and female)/P(female) =(30/200)/ (120/200) =30/120 =0.25 (c)P(majoring in Marketing | male) = P(majoring in Marketing and male)/P(male) =(40/200)/ (80/200) =40/80 =0.5 (d) P(male) = 80/120 =0.67

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