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Lecture22[1]

# Lecture22[1] - Lecture 22 Uniform Distribution Section 6.1...

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Uniform Distribution Section 6.1 1 STAT 225, Dallas Bateman, Spring 2010 Lecture 22

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Uniform Distribution When we worked with discrete RV’s, we came across many variables for which each outcome was equally likely such as rolling a die or flipping a coin. In the continuous case, this type of situation is called a uniform random variable.
Uniform Distribution A uniform random variable is a continuous random variable for which every outcome in an interval is equally likely . NOTE: The probability that X falls in a subinterval only depends on the length (not position) of the subinterval. Examples : X is a random value from [0,1] X is the exact time that someone will sneeze during class.

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Uniform Distribution Notation: a is the lower bound b is the upper bound PDF: CDF: ) , ( ~ b a Unif X b x a a b x f for 1 ) ( b x a a b a x x F for ) (
Uniform PDF

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Uniform CDF
Uniform Expectation/Variance Expected Value: Variance: 2 b a

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