6.86 The following table lists the joint probabilities of achieving grades of A

Question

6.86 The following table lists the joint probabilities of achieving grades of A and not achieving As in two MBA courses Does Not Achieve a Achieve a Grade of A Grade of A in Marketing in Marketing Achieve a grade of A in statistics 053 130 Does not achieve a grade of A in statistics 237 580 a. What is the probability that a student achieves a grade of A in marketing? b. What is the probability that a student achieves a grade of A in marketing, given that he or she does not achieve a grade of A in statistics? c. Are achieving grades of A in marketing and statistics independent events? Explain.

Explanation / Answer

P(Does not have to be discarded) = P(Not flawed) + P(Flawed) *P(Reparable | Flawed)

= (1-0.22) + 0.22*0.84

= 0.78 + 0.1848

= 0.9648

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