Ludwig got a score ofĤ7.5 points on the exam. With a mean of 40 points and a standard deviation of three points. A set of philosophy exam scores are normally distributed if you have more intuitive or definitive solution, please enlighten me.īy the way, thanks for your clear explanation as always Sal and your answer might be related to the fact that the area of a line must be 0. 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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