MAT 316 Lecture Notes - Lecture 6: Bernoulli Trial, Poisson Distribution, Central Limit Theorem

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17 Sep 2016
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Occurrences happen at a constant rate of per unit. X = the number of occurrences per unit. Note: the must be adjusted to match the unit that x is dealing with. The most common types of units are of time, area, and volume, although there can be other applications. However, the value of the parameter depends on the unit being used. That is why it is important that the unit be included in the notation for the distribution. For example, 1/minute and 60/hour are the same rate, but the numbers are different because the units are different. It is vital that the unit be explicitly stated in the identification of the distribution. Negative binomial in that it is unimodal and skewed right. If < 1, it starts high and continuously drops. If > 1, it has a left tail, meaning it increases up to some point and then drops.

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