ACTIVITY # 5 Applications of Normal distribution Solve the following. 1. In a population of high school students' algebra scores, the mean is 64 and the standard deviation is 6. Find the z values that corresponds to a score x = 81. (5points) 2. In a certain university, the students were informed that they need a grade in the top 8% of the engineering students to get a scholarship for the next semester. In the standardization of the test, the mean was 76 and the standard deviation is 14. Assuming that the grade is normally distributed, what must be the minimum grade to obtain the scholarship grant. (5points) 3. The average loan of an employee is Php18,200. If the debt is normally distributed with a standard deviation of Php6,150, find the probabilities; a. that the employee owes more than Php20,000. (5points) b. that the employee owes between Php10,000 and Php25,000. (5points) Links for Learning: Applications of the Normal Distributions