Practice: From EXAMPLE 1, determine the percentage of final grades that would lie between 88 to 92.

Performing an experiment numerous times with no systematic error results in a smooth curve called the *Gaussian Distribution.*

Concept #1: Understanding the Gaussian Distribution Curve

Example #1: Understanding standard normal distribution

Example #2: Understanding Z-Tables

Example #3: The use of Z-Tables is essential in the determination of probabilities.

Example #4: Suppose there are 100 students in your analytical lecture and at the end of the semester the class average is an 80 with a standard deviation of 5.3, determine the distribution and probability of grades based on your understanding of the Gaussian distribution curve.

Example #5: From EXAMPLE 1, determine the percentage of final grades that would lie below 71.

Practice: From EXAMPLE 1, determine the percentage of final grades that would lie between 88 to 92.