{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

notes515fall10chap3

# notes515fall10chap3 - STAT 515 Chapter 3 Probability Basic...

This preview shows pages 1–3. Sign up to view the full content.

STAT 515 --- Chapter 3: Probability Basic Definitions Experiment : A process which leads to a single outcome (called a sample point) that cannot be predicted with certainty. Sample Space (of an experiment): The collection of all the possible outcomes (or sample points). Example 1. Roll 1 die: Sample space = Example 2. Toss 2 coins: Sample space = The probability of a sample point is a number between 0 and 1 that measures the likelihood that this outcome will occur when the experiment is performed. Often we take this to mean the proportion of times the outcome would occur if we repeated the experiment many times. Note: (1) All sample point probabilities must be between 0 and 1. (2) The probabilities of all the points in the sample space must sum to 1.

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

View Full Document
Example 1: Probability of rolling a 3, denoted: P(3) = Example 2: Assuming coin is fair, P(HH) = An event is an outcome or collection of outcomes. We typically determine the probability of an event by adding the probabilities of the distinct outcomes that make up the event. Example 1: Event A = ‘rolling an even number’ P(A) = Example 2: Event B = ‘get at least one head’ P(B) = Unions and Intersections Compound events are composed of two or more “simple events,” for example: The union of events A and B is the event that either A or B (or both) occurs. Denoted A U B The intersection of events A and B is the event that both A and B occur when the experiment is conducted.
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