STA 301 Lecture 5: Module 5
8 Mar 2017
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Module 5 overview: we will study expected values and variance for discrete and continuous random variables. We will also explore transformations of random variables as well as the expected value and variance of linear functions of random variables. Module 5 outline: mathematical expectation, expected value, law of large numbers, variance and standard deviation, relationship between mean and variance, transformations of random variables, expected value and variance of linear functions of random variables. Consider a 3-sided die (if such a thing could exist). Let x be the random variable corresponding to the outcome of a single die roll and suppose x takes on the values corresponding to the sides of the die labeled 0, 1, 2. It is denoted with the lower case greek letter mu, , or the notation e[x]for random variable x. =e[x]=all xxp(x=x)(discrete random variables: balance point of the probability distribution.
