Based on what you have studied in this unit, reflect and answer the following questions: What are the main characteristics of the normal distribution? Why is it advantageous to use the Z scores? For a standard normal distribution, about 68% of values falls within one standard deviation of the mean; about 95% falls within two standard deviations; and about 99.7% falls within three standard deviations. Suppose the distribution of math scores in the SAT follow a normal distribution with a mean =700 and a standard deviation =150. Calculate the Z-score for an SAT Math score of 600. Interpret it in your own word. Find the interval [a, b] that captures 68% of the SAT Math score in this example. Find the interval [a, b] that captures 95% of the SAT Math score in this example. Find the interval [a, b] that captures 99.7% of the SAT Math score in this example