lecture7ccle

# lecture7ccle - THE BINOMIAL DISTRIBUTION LECTURE 7 CHAPTER...

• Notes
• 26

This preview shows pages 1–7. Sign up to view the full content.

THE BINOMIAL DISTRIBUTION LECTURE 7 - CHAPTER 3.4 (ESPECIALLY 3.4.2)

This preview has intentionally blurred sections. Sign up to view the full version.

A little background from 3.3.1in your text (optional) In 1963, Stanley Milgram began a series of experiments to estimate what proportion of people would willingly obey an authority and administer painful electrical shocks to a stranger. Milgram found that about 65% of people would obey the authority and give such shocks. Over the years, additional research suggested this number is approximately consistent across communities and time
Bernoulli Random Variable Each person in Milgram’s experiment can be thought of as a trial. We label a person a success if he/she refuses to administer the worst shock. A person is labeled a failure if he/she administers the worst shock. Because only 35% of individuals refused to administer the most severe shock, we denote the probability of a success with p = 0.35. The probability of a failure is sometimes denoted with q = 1- p. (so in this example q=0.65) Thus, success or failure is recorded for each person in the study. When an individual trial only has two possible outcomes, it is called a Bernoulli random variable.

This preview has intentionally blurred sections. Sign up to view the full version.

Properties of a Bernoulli Random Variable A Bernoulli random variable has exactly two possible outcomes. We arbitrarily label one of these outcomes a “success” and the other outcome a “failure”. In practice, when collecting these outcomes as data , we code “success” with a 1 and “failure” with a 0.
Features of a 1,0 variable A one-zero (1,0) variable has nice mathematical properties. Suppose I were to randomly sample 10 of you to see if you were willing to administer a painful electrical shock to a total stranger. And suppose this was the result: 1, 0, 0, 1, 0, 0, 0, 0, 1, 0 We could write that 7/10 or .70 or 70% would or that 30% of you would not.

This preview has intentionally blurred sections. Sign up to view the full version.

Features of a 1,0 variable Mathematically, we could write this as And because 0 and 1 are numerical outcomes, we
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern