Lesson 3 Basic Counting - Probability Definitions:...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Probability Definitions: 1.   Experiment  – any process that generates a set of data. 2. Observation  – any recording of information 3.      Sample  Space  – set of all possible outcomes of a statistical experiment. Can be described using a tree diagram or by defining the rule/statement that defines the sample points. 4.   Element  or sample point  – is a member of the sample space. 5. Event  – is a subset of a sample space. 6. Complement of an Event A with respect to S ( A’)  – is the subset of all elements of S that are not in A. 7. The intersection of two events A and B ( ) – is the event containing all elements that are common to A and B. 8. The union of two events A and B, - is the event containing all the elements that belong to A or B or both. 9. Two events A and B are mutually exclusive , or disjoint, if ; that is, A and B have no common elements. A B A B A B
Background image of page 1

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

View Full DocumentRight Arrow Icon
Examples 1. An experiment involves tossing a pair of dice, 1 green and 1 red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, describe the sample space: a. by listing the elements (x,y) b. by using the rule method. 2. Consider tossing a die. If A is the event of an odd number occurring , B the event of an even number occurring, and C the event of a perfect square occurring, determine: a. b. c. d. B C A C A B C '
Background image of page 2
Examples 3. Two items are randomly selected one at a time from an assembly line and classed as to whether they are superior quality(+), average quality (0), or inferior quality (-). a.
Background image of page 3

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

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 07/31/2011 for the course CHEM 144 taught by Professor Medarlodejesus during the Spring '11 term at Mapúa Institute of Technology.

Page1 / 13

Lesson 3 Basic Counting - Probability Definitions:...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online