This document defines key terms and concepts related to probability distributions, including discrete and continuous random variables, and the mean, variance, and standard deviation of probability distributions. It also describes the characteristics and computations for the binomial, hypergeometric, and Poisson probability distributions. Examples are provided to illustrate how to calculate probabilities using these three specific probability distributions.

1. Probability Distributions Chapter 6

3. What is a Probability Distribution? Experiment: Toss a coin three times. Observe the number of heads. The possible results are: zero heads, one head, two heads, and three heads. What is the probability distribution for the number of heads?

4. Probability Distribution of Number of Heads Observed in 3 Tosses of a Coin

5. Characteristics of a Probability Distribution

14. Mean of a Probability Distribution - Example

15. Variance and Standard Deviation of a Probability Distribution - Example

17. Binomial Probability Formula

19. Binomial Dist. – Mean and Variance

21. Binomial Dist. – Mean and Variance: Another Solution

23. Binomial – Shapes for Varying  ( n constant)

24. Binomial – Shapes for Varying n (  constant)

27. Cumulative Binomial Probability Distributions - Excel

31. Hypergeometric Distribution

33. Hypergeometric Distribution - Example

34. Hypergeometric Distribution - Excel

42. End of Chapter 6