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Section 6 Week in Review 2011

Section 6 Week in Review 2011 - AEM 2100 Spring 2011 WEEK...

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c d x f(x) X ~ Ν (40, 5) x z AEM 2100, Spring 2011 WEEK IN REVIEW March 7-10 SECTION 6 CONTINUOUS PROBABILITY DISTRIBUTIONS Probability is analogous to area No probability at a point (i.e. P(X = x*) = 0) This is in contrast to discrete probability distributions, where there can be probability at a point Uniform Distribution (a continuous distribution) Probability density function: Equal (“uniform”) chance of drawing X from anywhere between c and d Total area under the function = 1 Normal Distribution (a continuous distribution) Bell-shaped distribution symmetrical about the mean, μ Notation is: X ~ Ν ( μ , σ ) Points of inflection are at μ ± 1 σ Standard Normal Distribution (a special case of the Normal Distribution) Bell-shaped distribution symmetrical about its mean, μ = 0 Standard deviation, σ = 1 Standard normal random variable is “Z” Z ~ Ν (0,1)
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AEM 2100, Spring 2011
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