Topic 4 Review

Topic 4 Review - Topic4:Randomnessand Probability...

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Topic 4:  Randomness and  Probability Chapters 14 - 17
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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
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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.
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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 =
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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 =
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Methods  Venn Diagrams Tree Diagrams Contingency Tables
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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.
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This note was uploaded on 12/09/2011 for the course STATS 221 taught by Professor Nielson during the Fall '10 term at BYU.

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Topic 4 Review - Topic4:Randomnessand Probability...

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