integer. tion of X. What is the support of Y? nd the pdf of Y. Can you tell the name of the
integer. tion of X. What is the support of Y? nd the pdf of Y. Can you tell the name of the
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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Q3
![Suppose a value x is chosen "at random" in the interval [0, 1]. In other words, x is an
observed value of a standard uniform random variable X ª U(0, 1). Denote by Y the
distance of X from the nearest integer.
(a) Express Y as a function of X. What is the support of Y?
(b) Find P(Y > y).
(c) Find both the cdf and the pdf of Y. Can you tell the name of the distribution of
Y?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3b2b977-49e2-428f-b276-1fc0022629e3%2F6c73d738-1547-4511-8d79-28110fb80905%2Fmiagiei_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose a value x is chosen "at random" in the interval [0, 1]. In other words, x is an
observed value of a standard uniform random variable X ª U(0, 1). Denote by Y the
distance of X from the nearest integer.
(a) Express Y as a function of X. What is the support of Y?
(b) Find P(Y > y).
(c) Find both the cdf and the pdf of Y. Can you tell the name of the distribution of
Y?
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