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The triangular(a, m, b) distribution has pdf as f(x)= { 2(x-a) (b-a)(m-a) 2(6-x) (b-a)(b-m) a < x

The triangular(a, m, b) distribution has pdf as f(x)= { 2(x-a) (b-a)(m-a) 2(6-x) (b-a)(b-m) a < x

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.4: The M/m/1/gd/∞/∞ Queuing System And The Queuing Formula L = Λw
Problem 14P
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The triangular(a, m, b) distribution has pdf as f(x)= { 2(x-a) (b-a)(m-a) 2(6-x) (b-a)(b-m) a < x <m m≤ x <b. Write a function to generate a random sample of size n from the triangular (a, m, b) distribution by the acceptance-rejection method. Generate a random sample of size 1000 from the triangular (0, 1/3, 1) distribu- tion. Check the density histogram of the random sample with the density curve.
Transcribed Image Text:The triangular(a, m, b) distribution has pdf as f(x)= { 2(x-a) (b-a)(m-a) 2(6-x) (b-a)(b-m) a < x <m m≤ x <b. Write a function to generate a random sample of size n from the triangular (a, m, b) distribution by the acceptance-rejection method. Generate a random sample of size 1000 from the triangular (0, 1/3, 1) distribu- tion. Check the density histogram of the random sample with the density curve.
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