Question: From a table, calculate probabilities, including and, or, and given that questions. Be able to prove if events are dependent or independent. A survey of

From a table, calculate probabilities, including and, or, and given that questions. Be able to prove if events are dependent or independent.

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

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 or is female?

b.

What is the probability of selecting an individual who is majoring in Management, given that the person is female?

c.

What is the probability of selecting an individual who is male and majoring in something other than management or marketing?

d.

Are major and gender independent or dependent events? Prove with probabilities.

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