Please help find the pdf for Y 1. If X is a uniformly distributed random variable between -1 and 1 (pdf of x is constant=1/(2pi)between [-pi pi], and 0 elsewhere), find out the pdf function of Y given Y=Sin(X)Solve this problem analytically (through derivation, look at my notes, you will be able tofind a closed-form function for pdf of Y)

From the given information, fx=12π, -π≤X≤π Given that Y=sin(X) Consider, the distribution function…

Answered: If X is a uniformly distributed random…

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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Please help find the pdf for Y

1. If X is a uniformly distributed random variable between -1 and 1 (pdf of x is constant=1/(2pi)
between [-pi pi], and 0 elsewhere), find out the pdf function of Y given Y=Sin(X)
Solve this problem analytically (through derivation, look at my notes, you will be able to
find a closed-form function for pdf of Y)

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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