STAT 110: Notes for Week of 10/4/16
STAT 110: Notes for Week of 10/4/16 STAT 110 - 002
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STAT 110 - 002
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This 1 page Class Notes was uploaded by runnergal on Sunday October 9, 2016. The Class Notes belongs to STAT 110 - 002 at University of South Carolina taught by Gail Ward-Besser (P) in Spring 2016. Since its upload, it has received 6 views. For similar materials see Introduction to Statistical Reasoning in Statistics at University of South Carolina.
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Date Created: 10/09/16
STAT 110 – Notes for Week of 10/04/16 Chapter 19 o Simulation: a strategy used to figure out patterns in chance behavior when it is not possible to perform an experiement. o How to conduct a simulation: 1. Design a valid probability model using the probability rules. 2. Assign digits to outcomes. 3. Simulate numerous repetitions of the simulation to discover the pattern in the chance behavior. o Independence: when one outcome does not affect another outcome in the same experiment. o When two events are independent, you can find the probability of both events occurring by multiplying their probabilities. P(A&B) = P(A) x P(B) o If P(A&B) does not equal (P[A] x P[B]), then the events are not independent. Chapter 20 o Expected value: the average of all possible values in the long run; the expectation of the first value. o The expected value does NOT have to be one of the outcomes. o Do not round the expected value. o Possible outcomes: a , a1… 2 k o Probabilities: p ,1p 2 a k o To find the expected value, multiply each outcome by its corresponding probability, and then add those numbers together. o Expected value = a p +1 1 2 2 + a p k k o Law of Large Numbers: in a longrun experiment with many trials and outcomes, the average of the observed outcomes approaches the expected value. o You can find the exact expected value of a theoretical probability. o You can find the approximate expected value of an experimental probability.
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