Answered: Given the probability density function…

Given the probability density function f(x) = over the interval [1, 6], find the expected value, the 5 mean, the variance and the standard deviation. Expected value:

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

Please just find the EXPECTED VALUE.

Given the probability density function f(x)
mean, the variance and the standard deviation.
Expected value:
Mean:
Variance:
Standard Deviation:
1
over the interval [1, 6], find the expected value, the

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Expert Solution

Step 1

Given:

The Probability density function:

$f (x) = \frac{1}{5}$ over the interval [1, 6]

Formula Used:

The expected value: $E (X) = \int_{- \infty}^{\infty} xf (x) dx$

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