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6. Students in one statistics course need to earn a grade of at least C, otherwise they need to repeat the course. It is also
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Answer #1

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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