Question

Use Bayes Theorem to calculate the probabilities:

The enrollment in a certain course is 10% first year students, 30% sophomores, 40% juniors and 20% seniors.  Past experience has shown that the likelihood of receiving an A in the course is .2 for first year students, .4 for sophomores, .3 for juniors and .1 for seniors.  Find the probability that a student who receives an A is a sophomore.

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Basic Probability

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