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pur simulated ough the following steps: mate P (X > t) for t = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. mate P (X >t + 10 |X > 10) for t = 5, 10, 15, 20, 25, 30, 35, 40 mated lities in (b) against those in (a) in one graph. mate P (X > t + 20 |X> 20) for t = 5, 10, 15, 20, 25, 30, 35, 40 mated lities in (c) against those in (b) in one graph. amarize your findings. nd up the above simulated random number to the smallest inte n the random i.e., let Y = [X]. For example, [0.01]= 1, [1.0]= 1, and [5.62]= 6 ts above using the transformed data set. What is this distributi %3D

pur simulated ough the following steps: mate P (X > t) for t = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. mate P (X >t + 10 |X > 10) for t = 5, 10, 15, 20, 25, 30, 35, 40 mated lities in (b) against those in (a) in one graph. mate P (X > t + 20 |X> 20) for t = 5, 10, 15, 20, 25, 30, 35, 40 mated lities in (c) against those in (b) in one graph. amarize your findings. nd up the above simulated random number to the smallest inte n the random i.e., let Y = [X]. For example, [0.01]= 1, [1.0]= 1, and [5.62]= 6 ts above using the transformed data set. What is this distributi %3D

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. Use a software to simulate 1,000 random numbers from an Exponential distribution whose mean is 50, i.e., X ~Exp(50). Verify the memory-less property of the Exponential distribution using your simulated data through the following steps: (a) Estimate P (X > t) for t = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. (b) Estimate P (X > t + 10 | X> 10) for t = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. Plot the estimated probabilities in (b) against those in (a) in one graph. (c) Estimate P (X > t + 20 | X> 20) for t = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. Plot the estimated probabilities in (c) against those in (b) in one graph. (d) Summarize your findings. (e) Round up the above simulated random number to the smallest integer that is no less than the random number, i.e., let Y = [X]. For example, [0.01]= 1, [1.0]= 1, and [5.62]= 6. Repeat the four parts above using the transformed data set. What is this distribution? %3D
Transcribed Image Text:1. Use a software to simulate 1,000 random numbers from an Exponential distribution whose mean is 50, i.e., X ~Exp(50). Verify the memory-less property of the Exponential distribution using your simulated data through the following steps: (a) Estimate P (X > t) for t = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. (b) Estimate P (X > t + 10 | X> 10) for t = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. Plot the estimated probabilities in (b) against those in (a) in one graph. (c) Estimate P (X > t + 20 | X> 20) for t = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. Plot the estimated probabilities in (c) against those in (b) in one graph. (d) Summarize your findings. (e) Round up the above simulated random number to the smallest integer that is no less than the random number, i.e., let Y = [X]. For example, [0.01]= 1, [1.0]= 1, and [5.62]= 6. Repeat the four parts above using the transformed data set. What is this distribution? %3D
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