The total time, measured in units of 100 hours, that a teenager runs her hair dryer over a period of one year is a continuous random variable X that has the density function f(x)= x, 0 <x<1, 2x, 1 x<2, 0, elsewhere. Use Theorem 4.6 to evaluate the mean of the random variable Y = 60 X2 + 39X, where Y is equal to the number of kilowatt hours expended annually

Solved: The total time, measured in units of 100 hours,

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

ISBN: 9780321629111 32

Solution for problem 4.58 Chapter 4

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 4.58

The total time, measured in units of 100 hours, that a teenager runs her hair dryer over a period of one year is a continuous random variable X that has the density function f(x)= x, 0

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Weeks 7 & 8 Normal Distribution  “The bell Shaped Curve”: describes the shape for some quantitative, continuous random variables  Has two parameters: o  = mean determines the location. o  = standard deviation determines spread, variation, scatter.   The “area” under the curve within a range of X values is equal to proportion of the population within that range of X values

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