IQ scores for students at a prestigious university are normally distributed with a mean of 110 and a standard deviation of 8. Write the distribution for the random variable X using correct notation....

IQ scores for students at a prestigious university are normally distributed with a mean of 110 and a standard deviation of 8. Write the distribution for the random variable X using correct notation. Draw the graph of the distribution that represents the probability that a student has an IQ score between 100 and 200. Also, write this probability statement mathematically using correct notation. Find the probability that a student has an IQ score between 100 and 120. Write the exact Excel comman used, round to 4 decimal place. Find the 90th percentile of IQ schores at this institution and interpret its meaning in the context of the problem. Be sure to include a graph to represent this situation and the exact excel command used, round to 2 decimal points.