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A random variable X takes values between 4 and 6 with a

Probability and Statistics for Engineers and Scientists | 4th Edition | ISBN: 9781111827045 | Authors: Anthony J. Hayter ISBN: 9781111827045 235

Solution for problem 2.2.2 Chapter 2

Probability and Statistics for Engineers and Scientists | 4th Edition

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Probability and Statistics for Engineers and Scientists | 4th Edition | ISBN: 9781111827045 | Authors: Anthony J. Hayter

Probability and Statistics for Engineers and Scientists | 4th Edition

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Problem 2.2.2

A random variable X takes values between 4 and 6 with a probability density functionf (x) =1 x ln(1.5) for 4 x 6 and f (x) =0 elsewhere. (a) Make a sketch of the probability density function. (b) Check that the total area under the probability density function is equal to 1. (c) What is P(4.5 X 5.5)? (d) Construct and sketch the cumulative distribution function. (This problem is continued in 2.3.10 and 2.4.5.)

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Chapter 2, Problem 2.2.2 is Solved
Step 3 of 3

Textbook: Probability and Statistics for Engineers and Scientists
Edition: 4
Author: Anthony J. Hayter
ISBN: 9781111827045

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A random variable X takes values between 4 and 6 with a