Explanation Given: The probability density function f ( x ) = k e − x 2 on the interval [ 0 , ∞ ) . Calculation: The total area of the region under the graph of f is equal to 1. ∫ 0 ∞ k e − x 2 d x = 1 k ∫ 0 ∞ e − x 2 d x = 1 k [ e − x 2 − 1 2 ] 0 ∞ = 1 k [ − 2 e x 2 ] 0 ∞ = 1 Apply the upper limit and lower limit and obtain the value of k

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 10.1, Problem 18E

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Applied Calculus for the Managerial, Life, and Social Sciences

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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Chapter 10 Solutions