A group of 1000 students wrote an entrance exam for the Univ

A group of 1000 students wrote an entrance exam for the University of Statistics. The mean score was 62 with a standard deviation of 12. Assuming a Normal Distribution, answer the following questions: What is the probability of a student scoring above 75? What is the probability of a student failing? (i.e. below 50) How many students failed? What is the minimum mark you would need to score to be in the top 10%? What is the minimum mark you would need to score to be in the top 1%? How many people scored below 30? What is the probability of scoring between 60 and 80?

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