There are two kinds of students in our class: Good or Bad. A good student never slept during the lectures. A bad student slept at least once. Sadly, 80% of students are bad. A good student gets grade A+ with probability 10%. A bad student gets grade A+ with probability 1%.

1. What is the probability that a student with grade A+ is good?

2. Minho gets A+. Is he good or bad? Make a decision based on the maximum a posteriori (MAP) criterion.

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