Unit 3-3

# Unit 3-3 - Probability Denoted by P(Event favorable...

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Probability Denoted by P(Event) outcomes total outcomes favorable ) ( = E P This method for calculating probabilities is only appropriate when the outcomes of the sample space are equally likely.
Experimental Probability The relative frequency at which a chance experiment occurs Flip a fair coin 30 times & get 17 heads 30 17

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Law of Large Numbers As the number of repetitions of a chance experiment increase, the difference between the relative frequency of occurrence for an event and the true probability approaches zero.
Basic Rules of Probability Rule 1. Legitimate Values For any event E, 0 < P(E) < 1 Rule 2. Sample space If S is the sample space, P(S) = 1

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Rule 3. Complement For any event E, P(E) + P(not E) = 1
Rule 4. Addition If two events E & F are disjoint, P(E or F) = P(E) + P(F) (General) If two events E & F are not disjoint, P(E or F) = P(E) + P(F) – P(E & F)

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Ex 1) A large auto center sells cars made by many different manufacturers. Three of these are Honda, Nissan, and Toyota. (Note: these are not simple events since there are many types of each brand.) Suppose that P(H) = . 25, P(N) = .18, P(T) = .14. Are these disjoint events? P(H or N or T) = P(not (H or N or T) = yes .25 + .18+ .14 = .57 1 - .57 = .43
Ex. 2) Musical styles other than rock and pop are becoming more popular. A survey of college students finds that the probability they like country music is . 40. The probability that they liked jazz

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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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Unit 3-3 - Probability Denoted by P(Event favorable...

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