## 25 Reputation

14 years, 171 days

## Thanks, I could get it if I leave the f...

Thanks,

I could get it if I leave the field Append the argument (in the opened window) blank. But if we use Apply a Command then the purpose of Conext Menu is lost, isn't it?  Since we could write Student[Precalculus][CompleteSquare](%)  directly after the prompt instead of using the Context Menu.

## Thanks, I could get it if I leave the f...

Thanks,

I could get it if I leave the field Append the argument (in the opened window) blank. But if we use Apply a Command then the purpose of Conext Menu is lost, isn't it?  Since we could write Student[Precalculus][CompleteSquare](%)  directly after the prompt instead of using the Context Menu.

## @Markiyan Hirnyk  This is the works...

This is the worksheet I got int(PDF(Y))=1 and a correct result. I used Maple13.  For the problem "X=Uniform(-Pi,Pi) .  Y= a*sin(X+theta). Find PDF(Y) ".  Thanks,

example1.mw

PS: If you use Maple12 to run the worksheet then you may get a BUG (strange result) !

## @Markiyan Hirnyk  This is the works...

This is the worksheet I got int(PDF(Y))=1 and a correct result. I used Maple13.  For the problem "X=Uniform(-Pi,Pi) .  Y= a*sin(X+theta). Find PDF(Y) ".  Thanks,

example1.mw

PS: If you use Maple12 to run the worksheet then you may get a BUG (strange result) !

## This problem is from  the book belo...

This problem is from  the book below and  I tried to make my worksheet to get the same answer with the book and actually it did.

"Probability & Random Variables & Stochastic Processes 4th ed.  2002  Papoulis "

I got PDF_total =2. piecewise(...,1/(2*sqrt(a^2-y^2)*Pi),...)  where the factor 2 comes from the 2 roots in [-Pi..Pi] if you have only 1 root , it is easy to get the result from Maple directly like Robert Irael showed above.

Thanks,

## This problem is from  the book belo...

This problem is from  the book below and  I tried to make my worksheet to get the same answer with the book and actually it did.

"Probability & Random Variables & Stochastic Processes 4th ed.  2002  Papoulis "

I got PDF_total =2. piecewise(...,1/(2*sqrt(a^2-y^2)*Pi),...)  where the factor 2 comes from the 2 roots in [-Pi..Pi] if you have only 1 root , it is easy to get the result from Maple directly like Robert Irael showed above.

Thanks,

## if function is not monotonic...

That 's great hint. Thanks.

But if the function is not monotonic then we need to add the PDF of  all the roots toghether ( I mean the roots of g(X) = y ).

I tried to write a code for   "X is RandomVariable:  Uniform(-Pi,Pi).    Y= a*sin(X+theta).  Find the PDF of Y." in the attached worksheet but don't know if it is correct or not.

function_of_RV.mw

## if function is not monotonic...

That 's great hint. Thanks.

But if the function is not monotonic then we need to add the PDF of  all the roots toghether ( I mean the roots of g(X) = y ).

I tried to write a code for   "X is RandomVariable:  Uniform(-Pi,Pi).    Y= a*sin(X+theta).  Find the PDF of Y." in the attached worksheet but don't know if it is correct or not.

function_of_RV.mw

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