Finite Chapter 7.2

Finite Chapter 7.2 - Math 120 SP08 SBrodnick 7.2: Estimated...

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Math 120 SP08 SBrodnick 1 1 7.2 Probability 2 * Estimated Probability is based on actual data * Theoretical Probability is based on intuition *Est. Prob. of event E: P(E) = *Theoretical Prob. of event E: P(E) = frq(E) N # of times event E occurs (frequency of E) # of times experiment is performed (# of trials / sample size) # of favorable outcomes total # of possible outcomes = n(E) n(S) 3 * Collection of all of the outcomes and their probabilities: * Properties : 1. Prob. of each outcome is a 2. Prob.’s of all events add up to 1 3. Prob. of an event E is the sum of the prob.’s of individual outcomes in E Probability Distribution 4 Examples : 1. Toss a coin 100 times Event E: Heads You toss heads 43 times P ( E ) = ? 2.A die is rolled 50 times. The frequency of each roll is listed below. Find the est. prob. distribution
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This note was uploaded on 04/07/2008 for the course MAT 120 taught by Professor Brodnick during the Spring '08 term at Illinois State.

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Finite Chapter 7.2 - Math 120 SP08 SBrodnick 7.2: Estimated...

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