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Asked Oct 12, 2019

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DETAILED SOLUTION NEEDED

Step 1

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Hi! Thanks for posting the question. Although the question is presented as one question with two parts, each part is quite lengthy and can be treated as a separate question. Also, solution to any one part is independent of that of the other parts. Hence, we have treated this as two separate questions and according to our policy, have solved the first question for you. If you need help with any of the other parts, please re-post the question and mention the part you need help with.

a)

The joint pdf of (x,y) is given by –

Step 2

Finding the p.d.f of the random vector (R, T)

Given That X and Y in the form of polar coordinates

Step 3

Now we have to convert the X and Y in the form of ...

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