Consider the transformation Y= 1/X, and the density function f(x) = 3*x² for 01 The density function of Y is non zero for: 1>Y>-1 The density function of Y is non zero for: 0

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Question 10
Consider the transformation Y= 1/X, and the density function f(x) = 3*x² for 0<x<1 and is zero for all other values of x.
Determine the density function of Y and the range of values for which the density of Y is non-zero. Select all answers that
apply below.
The density function of Y is: 1-1/(2y^3)
The density function of Y is: 1/(y^3)
The density function of Y is: 3/y^4
The density function of Y is: 5y^4
The density function of Y is non zero for: Y>1
The density function of Y is non zero for: 1>Y>-1
The density function of Y is non zero for: 0<Y<1
Transcribed Image Text:Question 10 Consider the transformation Y= 1/X, and the density function f(x) = 3*x² for 0<x<1 and is zero for all other values of x. Determine the density function of Y and the range of values for which the density of Y is non-zero. Select all answers that apply below. The density function of Y is: 1-1/(2y^3) The density function of Y is: 1/(y^3) The density function of Y is: 3/y^4 The density function of Y is: 5y^4 The density function of Y is non zero for: Y>1 The density function of Y is non zero for: 1>Y>-1 The density function of Y is non zero for: 0<Y<1
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