What is the probability of a student getting a grade

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The results for the final examination (graded on a scale of 100), in EMBA Data Analysis, are distributed according to a normal distribution with a mean of 75 and a standard deviation of 5.

Problem A) What is the probability that a student gets a mark higher than 90?

Problem B) What is the probability that a student gets a grade of 60 or less?

Problem C) What is the probability of a student getting a grade between 65 and 80?

Problem D) What is the probability that a student's score is at least 80 but at most 90?

Problem E) What is the score of a student if s/he scored better than 90% of all students?

Problem F) What is the maximum score of a student if 5% of all students did better?

Problem G) What are the limits of scores such that 80% scored within this range and the limits are symmetrical about the mean?

Reference no: EM132706539

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