Week3[1] - Week 3: Probability Theory What Is Probability...

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Click to edit Master subtitle style Larson/Farber Ch. 3 Week 3: Probability Theory What Is Probability Probability Rules Contingency Tables Beyond the Basics: Chi-square Tests
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Larson/Farber Ch. 3 What Is Probability l Probability (P) is always expressed as a value between 0 and 1 (0% to 100%). l Probability is the likelihood that an event of interest will occur.
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Larson/Farber Ch. 3 Statistical Experiment l A statistical experiment in an activity that results in an outcome l Sample space -- the set of all possible outcomes for the experiment l Event -- outcome of interest, usually express as the P (event A) or P(A)
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Larson/Farber Ch. 3 Classical (equally probable outcomes) space sample in outcomes of Number E event in outcomes of Number P(E) = Frequency Total E event of Frequency P(E) = Probability blood pressure will decrease after medication Probability the line will be busy Empirical Intuitio n Types of Probability Probability that of rolling a 4 on a single roll of a die
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Larson/Farber Ch. 3 Relative Frequency l Probability of an event = f / n = relative frequency f is the frequency of an event n is the sample size l Relative frequency distributions (histograms) of samples are probability distributions Class Midpoint # of Videos % of Videos 25 -34 29.5 3 10.71% 35 - 44 39.5 8 28.57% 45 - 54 49.5 8 28.57% 55 - 64 59.5 5 17.86% 65 - 74 69.5 3 10.71% 75 - 84 79.5 0 0.00% 85 - 94 89.5 1 3.57% Total 28 100.00%
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Larson/Farber Ch. 3 Properties of Probability l P (A) denotes the “ probability of event A” l P is always a number greater than 0 and less than 1 l The sum of the probabilities of all outcomes in a sample space must equal 1 l P (not A) = 1 - P (A) this is the complement of an event; also designated as P (A’) or “probability of A prime”
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Larson/Farber Ch. 3
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Week3[1] - Week 3: Probability Theory What Is Probability...

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