Ex-2. Following the general assumption of Bayesian learning solve the following problem: Suppose there are three groups of MSc students (CS, AI, IS) who should study two courses: AI610 and AI660. Lets suppose that the chances of selecting any one of these courses is 50-50.

In the course of AI610, we have 7 CS students, 5 AI students and 10 IS students. In the other course, AI660, we have 5 CS students and 12 AI students, and no students from IS are registered in that course.

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What is the probability of selecting an IS student in AI660 course?

What is the probability of selecting a CS student from any one of these

courses?

Use Bayes theorem to calculate the probability that this CS student we

selected is registered in AI610?