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э) Compute P(-1< 3X < 12). p) Compute P(2 < 3X < 12).

э) Compute P(-1< 3X < 12). p) Compute P(2 < 3X < 12).

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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Exercise 1. Suppose that X Expon(5). Do not use the computer for this problem. Show your work. (a) Compute P(-1< 3X < 12). (b) Compute P(2 < 3X < 12).
Transcribed Image Text:Exercise 1. Suppose that X Expon(5). Do not use the computer for this problem. Show your work. (a) Compute P(-1< 3X < 12). (b) Compute P(2 < 3X < 12).
Expert Solution
Step 1

Let , X\to Expo(mean=5)

The mean of exponential distribution is , 

mean=\frac{1}{\lambda}=5\Rightarrow \lambda=\frac{1}{5}=0.2

The probability density function of X is , 

f(x)=\lambda e^{-\lambda x}=0.2 e^{-0.2 x};x\geq 0

=  0 ;otherwise

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