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1. Consider the function f(x) = = (x² - 1), 0, 1

1. Consider the function f(x) = = (x² - 1), 0, 1

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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1. Consider the function - {16² 0, f(x) = √(x² - 1), 1 ≤ x ≤2 otherwise (a) Sketch a graph of f(x). (b) Find the area under f(x). (c) Briefly explain why f(x) is a pdf. (d) Let X be the continuous random variable with pdf f(x). Determine P(X ≥ ³). (e) Determine P(X² ≤ 2)
Transcribed Image Text:1. Consider the function - {16² 0, f(x) = √(x² - 1), 1 ≤ x ≤2 otherwise (a) Sketch a graph of f(x). (b) Find the area under f(x). (c) Briefly explain why f(x) is a pdf. (d) Let X be the continuous random variable with pdf f(x). Determine P(X ≥ ³). (e) Determine P(X² ≤ 2)
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