In: Statistics and Probability
2. Answer the following questions. Assume the mean of a normal distribution is 100 and the standard deviation is 15.
a. What values in this distribution represent the median, mode, 50th percentile, 84th percentile, the top 5% of the distribution, and the bottom 2.5% of the distribution?
b. What z-values represent the median, mode, 50th percentile, 84th percentile, the top 5% of the distribution, and the bottom 2.5% of the distribution?