Answered: For the given question solve the…

For the given question solve the following: (a) Construct the cumulative distribution function. (b) What is the expected value, variance, and standard deviation of this random variable?

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

For the given question solve the following:

(a) Construct the cumulative distribution function.
(b) What is the expected value, variance, and standard deviation of this random variable?

A random variable $ X $ takes values between 4 and 6 with a probability density function $ f(x) = \frac{1}{x \ln(1.5)} $ for $ 4 \leq x \leq 6 $ and $ f(x) = 0 $ elsewhere.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

Expert Solution

Step 1

f(x)=1/[xln(1.5)] 4≤x≤6

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