1. What is normal?

4. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution that occurs when a distribution has a mean of zero and a standard deviation of one. The normal random variable of a standard normal distribution is called a standard score or a z-score. Every normal random variable X can be transformed into a z score via the following equation:

5. Here’s a question – Mandee took the ACT and received a score of 33, but Daniel (who is interested in East Coast Ivy League schools) took the SAT and received a score of 2230. Jessica got a 3 on the ACT and is obviously not part of the question… Who has bragging rights? ACT is normal, N(21.8,3.45) SAT is normal, N(1546, 291)

9. To find percentages in a normal distribution:

10. To find percentiles in a normal distribution…

11. Calculator functions: