Lecture21[1]

Lecture21[1] - Lecture 21 Continuous Random Variables...

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Continuous Random Variables Section 6.1 1 STAT 225, Dallas Bateman, Spring 2010 Lecture 21
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Continuous Random Variables So far we have only discussed random variables that can take on only discrete values. Remember discrete values are values that are countable. But these distributions do not describe all situations that we encounter in the real world. So there is another important class of distributions that describe variables that can be measured but are not countable.
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Continuous Random Variables Examples: Measurements like height, weight, or diameter of any object or person. Time These types of random variables take on values in an interval so they are called continuous random variables.
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Continuous Random Variables A random variable X is called continuous if there is a function f ( x ), called the probability density function (PDF) of X , such that:
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Continuous Random Variables a) for all real numbers x b) i. Because of this, we cannot find P ( X = x ) because the integral would cancel out and give 0.
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Lecture21[1] - Lecture 21 Continuous Random Variables...

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