Explanation Given: The probability density function f ( x ) = k x 3 on interval [ 0 , 1 ] . Calculation: The total area of the region under the graph of f is equal to 1. ∫ 0 1 k x 3 d x = 1 k ∫ 0 1 x 3 d x = 1 k

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 10.1, Problem 14E

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To find: The value of the constant k.

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Chapter 10 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 10.1 - Define the following terms in your own words: a....Ch. 10.1 - Prob. 2CQ Ch. 10.1 - Prob. 3CQ Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E

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The value of the constant k .

Solution Summary: The author explains the probability density function f(x)=kx 3 and calculates the total area of the region under the graph.

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To find: The value of the constant k.

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Chapter 10 Solutions