Explanation Formula used: “The uniform probability density function is f ( x ) = { 1 b − a if a ≤ x ≤ b 0 otherwise and the cumulative distribution function F ( x ) = { 0 if x < a x − a b − a if a ≤ x ≤ b 1 if x > b ”. Calculation: Given that the continuous random variable X is uniformly distributed on [ 5 , 15 ] . Thus, the values of a = 5 and b = 15 . Substitute the values of a and b in the above mentioned formula to compute the uniform probability density function. f ( x ) = { 1 15 − 5 if 5 ≤ x ≤ 15 0 otherwise = { 1 10 if 5 ≤ x ≤ 15 0 otherwise Therefore, the probability density function is f ( x ) = { 1 10 if 5 ≤ x ≤ 15 0 otherwise

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

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Chapter 11, Problem 9RE

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To find: The probability density function f and the cumulative distribution function F for the continuous random variable X which is uniformly distributed on [5,15].

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Chapter 11, Problem 8RE

Chapter 11, Problem 10RE

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Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MP Ch. 11.1 - Prob. 3MP Ch. 11.1 - Prob. 4MP Ch. 11.1 - Prob. 5MP Ch. 11.1 - Prob. 6MP Ch. 11.1 - Prob. 1ED Ch. 11.1 - Prob. 2ED Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E

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The probability density function f and the cumulative distribution function F for the continuous random variable X which is uniformly distributed on [ 5 , 15 ] .

Solution Summary: The author explains the probability density function f and the cumulative distribution function F for the continuous random variable X which is uniformly distributed on left[5,15right].

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To find: The probability density function f and the cumulative distribution function F for the continuous random variable X which is uniformly distributed on [5,15].

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Chapter 11 Solutions