In a recent year, the MCAT total scores were normally distributed, with a mean of 500 and a standard deviation of 10.6. In what range would you expect to find the middle 98% of scores? Write your...

In a recent year, the MCAT total scores were normally distributed, with a mean of 500 and a standard deviation of 10.6.

  In what range would you expect to find the middle 98% of scores?  Write your answers in interval notation, rounded to the nearest tenth.

 If you were to draw samples of size 60 from this population, in what range would you expect to find the middle 98% of most averages for the scores in this sample?  Use the Central Limit Theorem, write your answer in interval notation, rounding to the nearest tenth.

  Find the probability that a randomly selected medical student who took the MCAT has a total score that is more than 522.  Round your answer to the nearest thousandth.

  Determine if this event is considered unusual or not.  Yes or No.