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Unformatted text preview: the first digit of a randomly chosen fraudulent record. In exercise 10.14 we let Y stand for the sum of two randomly chosen numbers. Definition A random variable is a variable whose value is a numerical outcome of a random phenomenon. The probability distribution of a random variable X tells us what values X can take and how to assign probabilities to those values. A discrete random variable has a discrete probability model and a continuous random variable has a continuous probability model. We usually denote random variables with capital letters like X, Y, and Z. Particular, but unspecified values of these are usually denoted by lower case letters like x, y, and z. Example When two fair dice are rolled, there a many possible values that might interest us, and these can be treated as random variables. We could let X be the sum of the two dice. We could let Y be the largest value showing on a die. We could let Z be the product of the two dice. We could let W be the difference (say red die minus white die). We could let F be the number of 5s showing. And so on. 7...
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This note was uploaded on 09/14/2009 for the course CH 310 N taught by Professor Blocknack during the Fall '08 term at University of Texas at Austin.
- Fall '08