MA 135 Lecture Notes - Lecture 4: Random Variable, Probability Distribution
4 Mar 2020
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Document Summary
Describes the possible outcomes of a chance process and the likelihood that those outcomes will occur. A numerical variable that describes the outcomes of a chance process. Takes numerical values that describe the outcomes of some chance process. Gives its possible values and their probabilities. X takes a fixed set of possible values with the gaps between. The probability distribution of a discrete random variable x lists the values xi and their probabilities pi. Every probability is between 0 & 1. See chapter 5 slide 4 for example. To find mean, multiply each value (a) by its probability (p(a)) Binary- only two possible outcomes, success & failures. Independent- trails must be independent, knowing the result of one trial must not have any effect on the result of another advance. Number- the number of trials n of the chance process must be a fixed in. Success- on each trial, the probability p of success must be the same.
