1. Use the normal distribution of SAT critical reading scores for which the mean

1. Use the normal distribution of SAT critical reading scores for which the mean is 513 and the standard deviation is 120. Assume the variable x is normally distributed.a) What percent of the SAT verbal scores are less than 650?b) If 1000 SAT verbal scores are randomly selected about how many would you expect to be greater than 575?2. Find the z-score that has 7.5% of the distributions area to its right?3.In a survey of women in a certain country (ages 20-29) the mean height was 66.1 inches with a standard deviation of 2.71 inches. Answer the following questions about the specified normal distribution.a) What height represents the 90th percentile?b) What height represents the first quartile?