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Unformatted text preview: MATH 1780: Introduction to Probability Instructor: Jason Snyder Contents Continuous Random Variables and Their Probability Distributions Expected Values of Continuous Random variables The Uniform Distribution The Exponential Distribution The Gamma Distribution The Normal Distribution The Beta Distribution The Weibull Distribution MomentGenerating Functions for Continuous Random Variables Suppose an experimenter is measuring the life expectancy X of a transistor. In this case, X can take on an infinite number of possibilities. We can not assign a positive probability to each possible outcome of the experiment because, no matter how small we might make these probabilities, they would sum to a number greater than 1 when accumulated. Lets consider a specific example to try to understand what is going on here....
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 Fall '08
 SNYDER
 Probability

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