STAT 3201 Lecture 9: Stats 2.6.17
6 Feb 2017
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Expected value of a random variable or a function of a random variable. Let y be a discrete random variable with the probability mass function p(y). Then, the expected value of y is given by: If p(y) is an accurate characterization of the population frequency, then e(y) is the. Example: toss a coin three times and let y = number of heads: =(cid:882) (cid:2869)8+(cid:883) (cid:2871)8+(cid:884) (cid:2871)8+(cid:885) (cid:2869)8=(cid:883). (cid:887: a supervisor in a manufacturing plant has three men and three women working for him. He wants to choose two workers for a special job. Not wishing to show any biases in his selection, he decides to select the two workers at random. Let y denote the number of women in his selection. =(cid:883: a group of four components is known to contain two defectives. An inspector tests the components one at a time until the two defectives are located.
