bayes_mle_exercise - the probability that a student knew...

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1. Bayes rule. Suppose that in answering a question in a multiple choice test, a student either knows the answer with probability p , or he guesses with probability 1-p. Assume that the probability of answering a question correctly is 1 for a student who knows the answer and 1/m for the student who guesses, where m is the number of multiple choice alternatives. What is
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Unformatted text preview: the probability that a student knew the answer to a question given that he has correctly answered it? 2. MLE. Suppose X1, … Xn are i.i.d samples from U(-w,w), that is, ≤ ≤--< = w x w x w w w x x p 2 1 ) ( Write down a formula for an MLE estimate of w....
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