Homework Answers
6.
(a)
P(achieve grade C) = P(attend regularly)*P(Achieve grade C | attend regularly) + P(does not attend regularly)*P(Achieve grade C | does not attend regularly)
= 0.80*0.85 + 0.20*0.30
= 0.74
(b)
P(attended class regularly | achieved grade C) = P( attended class regularly and achieve grade C) / P(achieve grade C)
now,
P( attended class regularly and achieve grade C) = P(attend regularly)*P(Achieve grade C | attend regularly)
= 0.80*0.85 = 0.68
So,
P(attended class regularly | achieved grade C) = 0.68 / 0.74 = 0.92
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