1. For a normal distribution: a. What z-score separates the highest 10% from the test of the scores? b. What z-score separates the highest 30% from the rest of the scores? c. What z-score separates the lowest 40% from the test of the scores? d. What zscore separates the lowest 20% from the rest of the scores? 2 For a normal distribution with =200 and =50, find the following values: a. What X value separates the highest 10% of the distribution from the rest of the scores? b. What X values from the boundaries for the middle 60% of the distribution? c. What is the probability of randomly selecting a score greater than X=325? 3. Assume that a vertical line is drawn through a normal distribution at each of the following zscore locations. In each case, determine whether the tail is on the left side or the right side of the line and find the proportion of the distribution that is located in the tail. a. z = +1.80 b. z = +0.00 c. z = -0.40 d. z = -1.25 4. A normal distribution has a mean of = 100 with a = 20. Find the following probabilities. a. p(X > 102) b. p(X < 65) c. p(X , 130) d. p(95 < X < 105)