Hi i just wanna know the solution on how it ended up being the answers in the questions below.

The topic is about Standard Scores in Statistics and Probability.

Activity 4.1 Answer the following by showing your complete solution: 1. The scores of students in the Final exam in Pre-calculus has a mean of 32 and a standard deviation of 5. Find the z-scores corresponding to each of the following: a. 37 b. 22 2. The scores of a group of students in a qualifying exam are normally distributed with a mean of 60 and standard deviation of 8. a. How many percent of the students got below 72? b. If there were 250 students who took the test, about how many students scored higher than 64? 3. An international university only admits top 5% of the total examinees in their entrance exam. The results of this year's entrance exam follow a normal distribution with a mean of 285 and standard deviation of 12. What is the least score of an examinee who can be admitted to the university?