Homework Answers
a) Probability of being innocent and judged innocent = 0.98*0.97 = 0.9506
Probability of being innocent when judged guilty = 0.02*0.07 = 0.0014
So Probability of being innocent given that the person is judged innocent = 0.9506/(0.9506+0.0014)
= 0.998
b) Probability that a being guilty and judged guility = 0.02*0.93 = 0.0186
Probability of being innocent and judged guilty = 0.98*0.03 = 0.0294
So Probability of being guilty when judged guilty = 0.0186 /(0.0186+0.0294) = 0.3875
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