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The random variable X is exponential with parameter λ=1 . The random variable Y is defined by Y=g(X)=1/(1+X) . a) The inverse f...Asked by Nesli
The random variable X is exponential with parameter λ=1 . The random variable Y is defined by Y=g(X)=1/(1+X) .
a) The inverse function h , for which h(g(x))=x , is of the form ay^b+c . Find a , b , and c .
b) For y∈(0,1] , the PDF of Y is of the form fY(y)=y^a*e^((b/y)+c) . Find a , b , and c .
a) The inverse function h , for which h(g(x))=x , is of the form ay^b+c . Find a , b , and c .
b) For y∈(0,1] , the PDF of Y is of the form fY(y)=y^a*e^((b/y)+c) . Find a , b , and c .
Answers
Answered by
Sammy
a)
a = 1
b= -1
c = -1
b)
a = -2
b = -1
c = 1
All are correct!
a = 1
b= -1
c = -1
b)
a = -2
b = -1
c = 1
All are correct!
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