I guess this might be so clear and easy to someone who is so familiar with the concept of probability. even though the probability of a student would get as high as 47.5 like Ludwig's is surely low (around 0.62% as we checked above), it is almost certain that the probability of the event of a student missing 1 problem thus getting 47.5 score is higher than 0 by the design of the test. thus any students missing 1 problem would get 47.5 points as their score. Let us picture or imagine this, the test has 50 as full score and 1 problem has 2.5 points. Then must there be 0% of students having 47.5 as their score? ![]() The z-table says 99.38% of students would get less than 47.5 score and the answer for the problem given says 0.62% of them would get higher than 47.5. ![]() Something is bothering me on the probability of getting the exact same score of Ludwig (47.5 in this case) by other students.
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