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Chapter 6 The Normal Distribution

# Chapter 6 The Normal Distribution - Ch 6 The Normal...

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Ch. 6 The Normal Distribution A continuous random variable is a variable that can assume any value on a continuum (can assume an uncountable number of values) thickness of an item time required to complete a task temperature of a solution height, in inches These can potentially take on any value, depending only on the ability to measure accurately.

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The polygon of the distribution become a smooth curve called Probability Density Function (this is equivalent to Probability Distribution for discrete random variable) a b X P a X b ( ) P a X b ( ) < < = f(X) (Note that the probability of any individual value is zero)
The Normal Distribution Bell Shaped Perfectly Symmetrical Mean, Median and Mode are Equal Location on the value axis is determined by the mean, μ Spread is determined by the standard deviation, σ The random variable has an infinite theoretical range: + to - Mean = Median = Mode f(X) μ σ - +

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What can we say about the distribution of values around the mean? There are some general rules:
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Chapter 6 The Normal Distribution - Ch 6 The Normal...

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