In the last 7 years, 500 students who have taken the Mathematics final exam have averaged 55 points and a variance of 225. By applying the normal distribution, the final grade of a selected student a) Find the probability that it is 60 or less. b) Find the probability that it is between 60 and 75. c) What is the grade with the probability of exceeding 3%? d) At 95% confidence level, find the confidence interval limits for the mass mean. e) If the passing grade is 60, interpret grade success and variability of grades.
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