Answer the following problem and write your complete solution. Write the given, computations and conclusion. A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100. a. The top 3% of students receive Php 500. What is the minimum score you would need to receive this award? (10 points) b. The bottom 1.5% of students must go to summer school. What is the minimum score you would need to stay out of this group?