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Unformatted text preview: Learning Objectives Define probability density function Set up and use the probability density function of continuous random variables. Continuous RVs A continuous random variable is one which takes an infinite number of possible values. RV X is continuous if there is a nonnegative function (f) such that for every subset (B) of the real line: P X B ( 29 = f X x ( 29 B dx Examples of Continuous RVs Most measurements are continuous RVs Temperature, time, concentration, distance, and most other physical parameters are continuous RVs Continuous RVs are often approximated as discrete RVs due to Rounding Digitization PDF This function (f), which corresponds to a PMF of a discrete RV, is called the probability density function or PDF discrete continuous PMF PDF f X x ( 29 p X x ( 29 PDF Use to calculate probability that the value of X is in an interval (a,b) P a X b ( 29 = f X x ( 29 dx a b Area under PDF Interpret area under PDF as probability b a x f(x) P a X b ( 29 = f X x ( 29 dx a b Note that f x ( x ) can take on values greater than 1 PMF vs PDF Continuous RV Discrete RV PDF...
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This note was uploaded on 02/22/2010 for the course BME 335 taught by Professor Dunn during the Spring '10 term at University of Texas at Austin.
 Spring '10
 Dunn

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