StatsCH7 - Chapter 7 Continuous Probability Distributions...

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Chapter 7 1 Chapter 7 Continuous Probability Distributions
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Chapter 7 2 Continuous Random Variables Are defined over intervals rather than as integers Can have decimal or fractional values For a continuous r.v., point probabilities are always equal to zero. Example: If X is continuous then P(X = 10.2) = 0. Why? Probabilities are areas.
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Chapter 7 3 Normal PDF Figure 7-4
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Chapter 7 4 The Common Continuous Distributions Uniform Normal Standard Normal Exponential t distribution (Chapter 8)
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Chapter 7 5 Uniform Continuous Distribution See Table 7.1 2 ( ) 2 ( ) 12 x a P X x b a a b b a μ σ - = - + = - =
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Chapter 7 6 Uniform Distribution Example Define X to be the time it takes to drive to Winter Park on a Saturday morning during ski season. Let a = 1.75 hours and b = 2.25 hours. Find P(X 2 hours) Area under the curve is always 1
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Chapter 7 7 Normal Distribution See Table 7.2 2 1 2 1 ( ) 2 where and are mean and standard deviation. x f x
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This note was uploaded on 04/26/2009 for the course BCOR 1020 taught by Professor Liang,fang during the Fall '07 term at Colorado.

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StatsCH7 - Chapter 7 Continuous Probability Distributions...

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