Lecture Notes Chapter 4

Lecture Notes Chapter 4 - MATH 1780 Introduction to...

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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 ◦ Moment-Generating 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. Let’s consider a specific example to try to understand what is going on here....
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Lecture Notes Chapter 4 - MATH 1780 Introduction to...

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