COMM 217 Chapter 6: CHAPTER 6 - INTRODUCTION TO CONTINUOUS PROBABILITY DISTRIBUTIONS.docx

• School: Concordia University
• Department: Commerce
• Course: COMM 217
• Professor: Fassil Nebebe

Document Summary

Is a bell-shaped distribution with the following properties: It is unimodal; that is, the normal distribution peaks at a single value. In more formal terms, the normal distribution is asymptotic to the x-axis: the amount of variation in the random variable determines the height and spread of the normal distribution. Different normal distributions can be obtained changing and . Changing shifts the distribution left or right. Standardized normal z-value: z scaled value x any point on the horizontal axis. Mean of the specific normal distribution. Standard deviation of the specific normal distribution. The standard normal distribution table: provides probabilities (or areas under the normal curve) associated with different z-values. Is constructed so that the probabilities provided represent the chance of a value being between a positive z-value and its population mean. Step 1: determine the mean & the standard deviation. Step 2: define the event of interest, such as p(x x1)