STAT 3025Q Chapter 3: Ch 3 Random Variables

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Random variable - a variable because different numerical values are possible and random because the observed value depends on which of the possible experimental outcomes result, a rule of association. Example: when a student calls, the student will either be able to speak to someone (y) or placed on hold (n), define and rv x. X = the total number of pumps in use at the two station. Y = the difference between the number of pumps in use at station 1 and in use at station 2. U = the maximum of the numbers of pumps in use at the two stations. Random values can have finite or infinite number of possible values. Continuous random variable - both of the following apply. Its set of possible values consists either of all numbers in a single interval on the number line (possibly infinite in extent) or all numbers in a disjoint union of such intervals.

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