1. Chapter 5 Probability Distributions
In this handout:
Expectation (mean)
Standard deviation
Bernoulli trials
Binomial distribution

2. Ex.: Computing the mean for the example of tossing three coins.
Expectation (mean) of a probability distribution
Ex.: Computing the mean for the example of tossing three coins.

3. Box on Page 187 Variance and Standard Deviation of X

4. Table 5.7 (p. 188) Calculation of Variance and Standard Deviation

5. Examples of Bernoulli trials: - tossing a coin: tail or head - testing a product: good or defective item

6. Boxes on Page 197 Probability model; the Binomial Distribution

7. Elementary outcomes with associated probabilities in case of four trials

9. Figure 5.3 (p. 200) Binomial distributions for n = 6.

10. How to use the binomial table (Appendix B, Table 2)
For example, P[X=2] = f(2) = (table entry at c=2) – (table entry at c=1)

11. E. g. , for the binomial distribution with n=3 and p=
E.g., for the binomial distribution with n=3 and p=.5, Mean = np = 3×.5 = 1.5 Variance = npq = 3×.5 ×.5 = .75