1. Scores made on an aptitude test by employees are approximately normally distributed with mean of 500 and variance of 10,000. i. What percentage of those taking the test, score below 225? ii. What percentage of the scores fall between 355 and 575? 2. If Z is N (0,1), find the value of c such that. i. P (0.91 Z c) =0.8123 ii. P (c Z c) =0.8686 3. The heights of personnel of a security service are normally distributed with a mean of 161cm and a standard deviation of 8cm. i. What proportion of the security service have heights between 152cm and 176? ii. f 25% of the personnel are more than cm tall, find the value of