lecture5 - Psych 100A Winter 2010 Lecture 5: Ideas of...

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Psych 100A Winter 2010 Lecture 5: Ideas of Probability and distribution 1. Three definitions asic concepts 2. Basic concepts 3. Adding probabilities 4. Observed (empirical) versus Theoretical (population) distributions 5. Binomial distribution ormal distribution 6. Normal distribution
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1. Probabilities – What are the chances? athematicians have developed several Mathematicians have developed several careful and rigorous theories of probability. Classical probability Relative frequency concept of probability Subjective/personal probability
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a. Classical probability Definition . If a random experiment can result in n possible mutually exclusive and qually likely outcomes and if n f these equally likely outcomes and if n A of these outcomes have an attribute A, then the probability (Pr) of A is written as n A A ) Pr( n Attribute A is a collection of outcomes and is Concept . This definition is most often called an event. associated with games of chance.
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Example of classical probability: Suppose a card is drawn at random from an ordinary deck of playing cards. The probability of drawing a diamond (A) is % 25 52 13 ) Pr( n n A A The probability of drawing a number between 5 and 0 inclusive (B) is 10, inclusive (B) is 24 n % 46 52 ) Pr( B
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b. Relative frequencies Definition . If an experiment is perfomred n times and if n A of these result in the utcome A then the probability of A outcome A, then the probability of A occurring is defined as the limiting ratio: n A lim ) Pr( Concept . This is an empirical approach to robability that says approximately what probability that says approximately what percent of the time an event will occur when the basic process is repeated over and over gain independently and under the same again, independently and under the same conditions.
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Example of relative frequencies: A fair coin is tossed. What is the relative frequency probability
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This note was uploaded on 03/15/2010 for the course PSYCHOLOGY 100B taught by Professor Firstenberg,i. during the Winter '10 term at UCLA.

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lecture5 - Psych 100A Winter 2010 Lecture 5: Ideas of...

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