The document defines key terms related to probability distributions, including random variables, discrete and continuous distributions, and mean, variance and standard deviation. It provides examples of discrete and continuous random variables and describes the binomial, hypergeometric and Poisson distributions. Examples are given to show how to calculate the mean, variance and standard deviation of a discrete probability distribution.

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

15. Mean of a Probability Distribution - Example

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

17. Try This: Compute the mean, variance and sd: In a card scratching lottery promo in a department store, the following are the probabilities set by the company for each prize. Prize Amount, x Probability, p(x) P500 0.50 P1000 0.40 P1500 0.08 P2000 0.02