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This question confuses me. Kindly help explain with details please. I want to understand how the answer is derived. If possible, let

This question confuses me. Kindly help explain with details please. I want to understand how the answer is derived. If possible, let

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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This question confuses me. Kindly help explain with details please. I want to understand how the answer is derived. If possible, let me know the topic related to the question so I can research on it in details also. Thank you!

6) Given the graph below on the interval 0≤x≤3: 18+ 16+ 14+ 12+ 1- ast 06+ 0.4+ 02+ -0.2+ -0.4+ S 18 06 08 b) Find the mean of this model. f(x)=(x^2)/9 c) What is the variance of the model? 16 1.8 a) Does the graph represent a legitimate probability model? Explain your answer. B a 3.8
Transcribed Image Text:6) Given the graph below on the interval 0≤x≤3: 18+ 16+ 14+ 12+ 1- ast 06+ 0.4+ 02+ -0.2+ -0.4+ S 18 06 08 b) Find the mean of this model. f(x)=(x^2)/9 c) What is the variance of the model? 16 1.8 a) Does the graph represent a legitimate probability model? Explain your answer. B a 3.8
Expert Solution
Step 1

a)

From the given graph,

The function is, fx=x29

From the X-axis, the range for X is 0 to 3.

Let us check whether the integral value of f(X) over the interval 0 to 3 equal to 1 or not.

fx=∫03x29dx       =x32703       =2727       =1

Here, the integral value is equal to 1.

Hence, the given function is legitimate pdf.

 

 

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