(d.) Is f a valid pdf? Circle One: Yes or No Show Proof of your answer: Let random variable X be the length of the side of a square.Let Y be the area of the square, i.e. Y=X².Suppose that X has the probability density function,[3x²if 0

In question, Given that X is random variable and we have given f(x). Then we'll check that f(x) is…

Answered: Let random variable X be the length of…

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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(d.) Is f a valid pdf? Circle One: Yes or No Show Proof of your answer:

Let random variable X be the length of the side of a square.
Let Y be the area of the square, i.e. Y=X².
Suppose that X has the probability density function,
[3x²if 0<x<1
f(x) = {
(0 elsewhere

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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