Answered: Suppose that the length of long…

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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Question

Suppose that the length of long distance phone calls, mea- sured in minutes, is known to have an exponential distribution with the average length of a call equal to 15 minutes. Find the CDF.

Expert Solution

Step 1

Given;

$μ = 15 min$

Let X be a random variable and follows exponential distribution with mean $μ$ . We can write as-

$X ~ E x p (m) X ~ E x p (0.0667)$

where m is the decay parameter and given by $m = \frac{1}{μ} = \frac{1}{15} = 0.0667$ .

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