Lecture15[1] - Lecture 15 Random Variables Sections 5.1 5.2...

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Random Variables Sections 5.1 & 5.2 1 STAT 225, Dallas Bateman, Spring 2010 Lecture 15
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Random Variables A random variable (RV) is a real valued function whose domain is a sample space. We will usually denote random variables by X, Y, Z and their respective values by x , y , z 2 STAT 225, Dallas Bateman, Spring 2010
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Random Variables Discrete Random Variables Random variables that take on a finite (or countable) number of values. Sum of two dice (2,3,4,…,12) Number of children (0,1,2,…) Number in attendance at the movies Number of hired employees Continuous Random Variables Random variables that take on values in a continuum or infinitely many values. Height Weight Time 3 STAT 225, Dallas Bateman, Spring 2010
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Random Variables Toss a fair coin 4 times. Suppose we are interested in the random variable X = number of heads. X 0 1/16 1 4/16 2 6/16 3 4/16 4 1/16 (x) p X 4 STAT 225, Dallas Bateman, Spring 2010
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Probability Mass Function (PMF) The values on the right of the table above are called the Probability Mass Function of the random variable X ) ( ) ( x X P x p X 5 STAT 225, Dallas Bateman, Spring 2010
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