Language for Binomial %26 Poisson RV

Language for Binomial %26 Poisson RV - Notes on Language...

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Notes on Language for Binomial and Poisson Random Variables This is a short list of the more common phrases and expressions that may used in binomial and Poisson problems to specify the values of interest. This list is not exhaustive. For binomial and Poisson random variables X, the values x are integers, that is, whole numbers (including 0). (Note that E(x) may occasionally be a whole number, depending on the situation; in general it is not a whole number, but is generally a real (decimal) number.) 1. “more than x” means all possible integer values that are strictly greater than x (not including x); all integer values > x. Example: “more than 3” means x = 4, 5 , … (up to n if binomial, indefinite if Poisson). 2. “x or more” means all possible integer values that are greater than or equal to x (including x); all integer values ≥ x. Example: “3 or more” means x = 3, 4, 5 , … (up to n if binomial, indefinite if Poisson). 3. “at least x” means all possible integer values that are greater than or equal to x (including x); all integer values ≥ x. Note that “at least x” means “x or more.” Example: “at least 3” means x = 3, 4, 5 , … (up to n if binomial, indefinite if Poisson). Note that although 2 and 3 have different wording, they both mean the same values of x. 4. “less than x” or “fewer than x” means all possible integer values that are strictly less than x (not including x); all integer values < x. Example: “less than 3” means x = 0, 1, 2.
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This note was uploaded on 01/26/2011 for the course OM 210 taught by Professor Singer during the Fall '08 term at George Mason.

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Language for Binomial %26 Poisson RV - Notes on Language...

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