Chapter 9, Problem 4SE

Exam Scores The distribution of the scores on a certain exam is $N\left(100,10\right)$ which means that the exam scores are Normally distributed with a mean of 100 and a standard deviation of 10.

a. Sketch or use technology to create the curve and label on the $x$ -axis the position of the mean, the mean plus or minus one standard deviation, the mean plus or minus two standard deviations, and the mean plus or minus three standard deviations.

b. Find the probability that a randomly selected score is between 90 and 110. Shade the region under the Normal curve whose area corresponds to this probability.