Topic 4 Review

# Topic 4 Review - Topic4:Randomnessand Probability...

This preview shows pages 1–8. Sign up to view the full content.

Topic 4:  Randomness and  Probability Chapters 14 - 17

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

View Full Document
Vocabulary Trial:  single attempt of a random  phenomena Outcome:  value measured, observed,  or reported for each trial Sample Space:  All possible outcomes. Event:  collection of outcomes
Big Concepts Law of Large Numbers:  the long-run relative  frequency of repeated independent events  gets closer to the theoretical problems as  number of trials increases Independence:  The occurrence of one event  doesn’t alter the probability that the other  event occurs Disjoint:  Two events that cannot occur  together.  Disjoint events cannot be  independent.

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

View Full Document
Probability Rules 0≤P(A)≤1 Probability of Event A: Complement of Event A (not A):   P(not A)=1-P(A) Addition Rule (must be disjoint): P(A or B) = P(A) + P(B) General Addition Rule (all events): P(A or B) = P(A) + P(B) - P(A and B) Multiplication Rule (must be independent): P(A and B) = P(A)∙P(B) Conditional Probability: General Multiplication Rule (all events):  P(A and B) = P(A)∙P(B|A) ( 29 space sample S in element of number A in elements of number A P = ) ( ) ( ) ( ) | ( B P B and A P B A P =
Formal Definition of  Independence This is generally asked as a “show that the  two events are independent” kind of  question.  You will do it as a PROOF! Show: If the two sides are equal they are  independent, otherwise not independent. ) ( ) | ( B P A B P =

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

View Full Document
Methods  Venn Diagrams Tree Diagrams Contingency Tables
Practice In our text book the authors drew a representative  sample of pages from our text book.  They found  that 48% of pages had some kind of data display.   27% of pages had an equation, and 7% of pages  had both a data display and equation. a. What is the probability that a randomly selected  sample page had neither a data display nor an  equation. b.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 12/09/2011 for the course STATS 221 taught by Professor Nielson during the Fall '10 term at BYU.

### Page1 / 23

Topic 4 Review - Topic4:Randomnessand Probability...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online