ContinuousDistributions - (6.1) Continuous Distributions...

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Unformatted text preview: (6.1) Continuous Distributions Discrete Continuous PMF Charts PDF Charts To find probability = add To find probability = take integral Sum of all possible prob = 1 Integral of all possible prob = 1 P(X=a) = some value P(X=a) = 0 ALWAYS P(Xa) P(X<a) (not ALWAYS) P(Xa) = P(X<a) ALWAYS true PDF (Probability Density Function) CDF (Cumulative Density Function) P(X a) = ???? ? ?? = 1 8 ? ? 4 ????? ? = ? < 0 1 16 ? 2 ? 4 1 ? > 4 ( ? < 1) = 1 8 ? ?? = 1 16 ? 2 | 1 = 1 16 1 2 1 1 16 2 = 1 16 ( ? < 1) = ? (1) = 1 16 1 2 = 1 16 (2 < ? 3) = 1 8 ? ?? = 3 2 1 16 3 2 1 16 2 2 = 5 16 (2 < ? 3) = ? (3) ? (2) = 1 16 3 2 1 16 2 2 = 5 16 ? > 3 = 1 8 ? ?? = 4 3 1 16 4 2 1 16 9 2 = 7 16 ? > 3 = 1 ? 3 = 1 ? 3 = 1 9 16 = 7 16 (2 < ? 5) = 1 8 ? ?? = 4 2 1 16 4 2 1 16 2 2 = 12 16 2 < ? 5 = ? 5 ? 2 = 1 4 16 = 12 16 Discrete Continuous ? ( ? ) = ?? ( ? ) ?? = ???? ?? 2 = ? 2 ? ( ? ) ?? 2 = ? 2 ??? ?? = ? 1 8 ? ?? = 1 8 ? 2 ?? = 4 ? 3 24 | 4 = 4 3 24 = 2.67 4 ?? 2 = ? 2 1 8 ? ?? = 1 8 ? 3 ?? = 4 ? 4 32 | 4 = 4 4 32 = 8 4 ?? = ?? 2 ?? 2 = 8 2.67 2 = .88 Percentiles : In general to find percentiles set percentile to CDF and solve for x. Remember, the median is the 50 th percentile Find the 80 th percentile of X Find the Median of X 5 = 1 16 ?...
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This note was uploaded on 02/06/2012 for the course STAT 225 taught by Professor Martin during the Spring '08 term at Purdue University-West Lafayette.

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ContinuousDistributions - (6.1) Continuous Distributions...

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