The distribution of SAT scores in math for an incom-ing class of business students has a mean of 610 and standard deviation of 20. Assume that the scores are normally distributed. a. Find the probability that an individual’s SAT score is less than 600. b. Find the probability that an individual’s SAT score is between 590 and 620.
c. Find the probability that an individual’s SAT score is greater than 650.
d. What scores will the top 5% of students have? e. Find the standardized values for students scoring 540, 600, 650, and 700 on the test. Explain what these mean.

Problem 3: access control pokeygram, a cutting-edge new email start-up, is setting up building access for its employees. there are two types of employees: managers and engineers, and there are three departments: security, networking, and human resoures. each employee works in a single department, and each department is housed on a different floor. managers are allowed access to any floor, while engineers are allowed access only to their own floor. there are three badge-operated elevators, each going up to only one distinct floor. every employee has one badge. pokeygram wants to use the best possible access control method in order to minimize delay for the elevators (a) access control matrix, 1. which of the following would you recommend that pokeygram use: (b) access control lists, or (c) capabilities? make sure to justify your answer. 2. what, if any, would be the benefits (and/or disadvantages) of using rbac (role-based access control) in this situation? keep your solution for this problem limited to 10-12 lines of text.