A group of 1000 students wrote an entrance exam for theUniversity of Statistics. The mean score was 62 with a standarddeviation of 12. Assuming a Normal Distribution, answer thefollowing 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 thetop 10%?
- What is the minimum mark you would need to score to be in thetop 1%?
- How many people scored below 30?
- What is the probability of scoring between 60 and 80?
