MAT 117 Chapter 5: STATS Ch. 5
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Probability mass function of a discreet random variable: x provides the possible values of the random variable & their corresponding probabilities, denoted by (x, p(x=x)). Cumulative distribution function of x: defined as p(x x). A probability distribution for rolling a 6-sided die is shown: x. A cumulative probability distribution for rolling a 6-sided die is shown: x. 6/6: in a probability histogram, the horizontal axis corresponds to the value of the random variable & the vertical axis represents the prob. of each value of the random variable. Expected value (mean) of a discreet random variable: for a discreet random variable x w/ values x(cid:883), x(cid:884), x(cid:885) , which occur w/ probabilities. Let x represent the #s of a die. x. = 3. 5: ex: organizers of an outdoor summer concert in toronto are concerned about the weather conditions on the day of the concert. They will make a profit of ,000 on a clear day & ,000 on a cloudy day.