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Consider the following function f(y) = }4374 ¡y® for -c

Consider the following function f(y) = }4374 ¡y® for -c

MATLAB: An Introduction with Applications
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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Consider the following function \[ f(y) = \begin{cases} \frac{1}{4374} y^8 & \text{for } -c < y < c \\ 0 & \text{elsewhere} \end{cases} \] 1. Find the constant \( c \) such that \( f(y) \) is a density function of \( Y \). 2. Find the cumulative distribution function of \( Y \), \( F(y) \). 3. Find the probability that \( Y \) is at least -1.4 and at most 2.6. 4. Find the probability that \( Y \) is at most 2.5 given it is at least -1.3.
Transcribed Image Text:Consider the following function \[ f(y) = \begin{cases} \frac{1}{4374} y^8 & \text{for } -c < y < c \\ 0 & \text{elsewhere} \end{cases} \] 1. Find the constant \( c \) such that \( f(y) \) is a density function of \( Y \). 2. Find the cumulative distribution function of \( Y \), \( F(y) \). 3. Find the probability that \( Y \) is at least -1.4 and at most 2.6. 4. Find the probability that \( Y \) is at most 2.5 given it is at least -1.3.
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