Homework Answers
a)
P(P) = P(P|S)*P(S) + P(P|N)*P(N)
= 0.9 * 0.3 + 0.1 * 0.7
= 0.34
b)
P(P and S) = P(P|S) * P(S)
= 0.9 * 0.3
= 0.27
c)
P(S|P) = P(P|S)*P(S)/(P(P|S)*P(S) + P(P|N)*P(N))
= 0.9 * 0.3 / (0.9 * 0.3 + 0.1 * 0.7)
= 0.7941
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