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Mathematics, 27.06.2019 09:50 garcia36

Astudent answers a multiple choice exam question that has 4 possible answers. suppose that the probability that the student knows the answer to the question is 0.80 and the probability that the student guesses (doesn’t know the answer) is 0.20. if the student knows the answer, the probability of choosing the correct answer is 1 (because the student knows the answer). if the student guesses, the probability of choosing the correct answer is 0.25. a) what is the probability that the student really knew the correct answer? (that is, what is the probability that the student knew the answer, given that the student got the answer correct). b) suppose there is a third option. the student knew the answer with probability of .7, the student guessed with probability .2, and the student(incorrectly) thought they knew the answer given that the student thought they knew it is 0. the conditional probability of a student getting the correct answer given that they guessed is still .25. using this information, calculate the probability that the student really knew the correct answer.

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