3Let X - exp (1). We define Y = [X] +1 and Z = X - [X], where [t] stands for the integer part of t (e.g.,[T] = 3).1. Find the distribution of Y.2. Compute the expectancy and variance of Y.3. Compute the CDF of Z.

In this problem, we analyze the random variable X, which follows an exponential distribution with a…

Answered: Let X exp (1). We define Y = [X] + 1…

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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Let X exp (1). We define Y = [X] + 1 and Z = X - [X], where [t] stands for the integer part of t (e.g., [T] = 3). 1. Find the distribution of Y. 2. Compute the expectancy and variance of Y. 3. Compute the CDF of Z.