Chp8-lecture_notes_normal_distribution

Chp8-lecture_notes_normal_distribution - Module 8 The...

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Module 8 The Normal Distribution Assessing Likelihood with Continuous Distributions Objectives: One should be able to determine the probability distribution for normal random variables work with standardized values assess normality approximate binomial probabilities using the normal distribution Some Starting Ideas Continuous Random Variable – a random variable whose possible values form an infinite set of possibilities. probability distributions are represented by curves probability is associated with the area bounded by the curve
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-4 -3 -2 -1 0 1 2 3 4 Normal Distribution: Bell shaped Total area bounded by curve equals 1 Completely determined by the mean and standard deviation (or variance) N(0,1) denotes mean = 0, std dev = 1 + - -4 -3 -2 -1 0 1 2 3 4 68%, ±1 σ 95%, ±2 σ 99.7%, ±3 σ 0.15% 0.15% Empirical Rule of the Normal Distribution + - Three Normal Distributions Three Normal Distributions A B C
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Cumulative Standard Normal Table A: A: - < Z < 0 B: 0 B: 0 < Z < + Prob Prob : 0 to .5 .5 to 1.0 .5
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Normal Probabilities using Minitab Normal Probabilities using Minitab
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P(-1.23 < Z < 2.05) -4.0 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 4.0 0Z 2.05 What proportion of Z values are between –1.23 and +2.05?
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This note was uploaded on 09/26/2009 for the course OM 550 taught by Professor Kin during the Spring '09 term at Universidad Católica del Maule.

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Chp8-lecture_notes_normal_distribution - Module 8 The...

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