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The operations manager labels any week that is in the bottom 20% of production a “bad week.” How many metric tons should be used to define a bad week? 8.11 A random variable has the following density function. f(x) = 1 - .5x 0 < x < 2 a. Graph the density function. b. Verify that f(x) is a density function. Copyright 2014 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 266 CHAPTER 8 8-2 NORMAL DISTRIBUTION The normal distribution is the most important of all probability distributions because of its crucial role in statistical inference. c. Find P(X > 1). d. Find P(X < .5). e. Find P(X = 1.5)
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