fx(x) = {{ √ x/2 01 Let Y be the output of the "clipper": Find: a) The probability P[Y = 0.5] b) The PDF fy(y) 0.5 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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Let X be a random variable with PDF:

fx(x) = {{
√ x/2 0<x<2
0
otherwise
X ≤ 1
Y = g(x) = {
X>1
Let Y be the output of the "clipper":
Find:
a) The probability P[Y = 0.5]
b) The PDF fy(y)
0.5
X
Transcribed Image Text:fx(x) = {{ √ x/2 0<x<2 0 otherwise X ≤ 1 Y = g(x) = { X>1 Let Y be the output of the "clipper": Find: a) The probability P[Y = 0.5] b) The PDF fy(y) 0.5 X
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