Chap_7 - chapter 7 Continuous Probability Distributions...

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chapter 7 Continuous Probability Distributions
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Chapter Goals After completing this chapter, you should be able to: Understand the continuous random variables and there probability distribution Recognize when to apply the uniform Find probabilities using a normal distribution table and apply the normal distribution
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Continuous Probability Distributions 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 Uniform Distribution The uniform distribution is a probability distribution that has equal probabilities for all possible outcomes of the random variable
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The Continuous Uniform Distribution: otherwise 0 b x a if a b 1 where f(x) = value of the density function at any x value a = lower limit of the interval b = upper limit of the interval The Uniform Distribution (continued) f(x) =
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Uniform Distribution Example: Uniform Probability Distribution Over the range 2 ≤ x ≤ 6: 2 6 .25 f(x) = = .25 for 2 ≤ x ≤ 6 6 - 2 1 x f(x)
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The Normal Distribution Bell Shaped Symmetrical Mean, Median and Mode are Equal Location 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 x f(x) μ σ
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By varying the parameters μ and σ , we obtain different normal distributions Many Normal Distributions
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Chap_7 - chapter 7 Continuous Probability Distributions...

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