# Ch07 - 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.
Chapter 7 3

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Chapter 7 4 Normal PDF Figure 7-4
Chapter 7 5 Continuous Distributions Uniform Normal Standard Normal Exponential t distribution (Ch 8)

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Chapter 7 6 Uniform Continuous Distribution See Table 7.1 2 ( ) 2 ( ) 12 x a P X x b a a b b a μ σ - = - + = - = P ( c < < X < < d ) = ( ) = ( d c )/( )/( b a )
Chapter 7 7 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)

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What’s the probability that it will take more than 2 hours? A.) 1
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Ch07 - Chapter 7 Continuous Probability Distributions...

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