Question: 1) What is the probability of passing Intermediate Micro conditional on passing Mathematical Economics? 2) What is the probability of passing Intermediate Micro conditional on

1) What is the probability of passing Intermediate Micro conditional on passing Mathematical Economics?

2) What is the probability of passing Intermediate Micro conditional on not passing Mathematical Economics?

q A student is taking two courses from the Econ Depart- ment: terme iate Micro and Mathematical Economics. Suppose that each course has only a nal exam at the end of it and the only grade op- tions available are pass or fail. The unconditional probability of passing Intermediate Micro is 60%, i.e. P(IM) = 0.6. We know that the condi- tional probability of not passing Mathematical Economics given that In- termediate Micro is passed is 20% (i.e. P(m| IM) = 0.2). We also know that the probability of passing Mathematical Economics conditional on not passing Intermediate Micro is 10% (i.e. P(ME |W) = 0.1. (a) What is the probability of passing Intermediate Micro conditional on passing Mathematical Economics? 1 (b) What is the probability of passing Intermediate Micro conditional on not passing Mathematical Economics? (Hint: keep in mind that the probability of the complement of E is PE) = 1 P(E).)

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