What is the probability of an individual scoring above 500 on the GMAT? Normal Distribution 24107 0 112 527 500 Z
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You should note that the accuracy of your solutions will depend on the tables (or graphic calculator) you are using 8 0 Introduction The tallest accurately
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Definition (Standard normal distribution) density Theorem fZ (x) is a valid PDF, that is, it is a nonnegative function such that
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standard of reference for many probability problems I Characteristics of the Normal distribution • Symmetric, bell shaped • Continuous for all values of
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The probabilities of the normal distribution have to be determined numerically Figure 5 Example 7 What is the probability that Z > 2? Solution
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So, in practice, probabilities are found by referring to used to describe the shape of the normal p d f , and likewise histograms of
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Interpret graphs of normal probability distributions Example: Using The Standard Normal Table Solution: Finding Probabilities for Normal
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distribution of random variables that arise in practice, such as the We say that a random variable X follows the normal distribution if the probability
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Continuous normal distribution of random variable X, defined on interval (??, ?), 1Normal probability density function ( pdf ) is not directly used;
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Solution Y ? N(75,25) 1 2 Shapes of distributions Although many variables are approximately normal in distribution, many are not For example, Figure 5
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