Mathematical Statistics and Data Analysis
Mathematical Statistics and Data Analysis
3rd Edition
ISBN: 9781111793715
Author: John A. Rice
Publisher: Cengage Learning
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Chapter 3.8, Problem 55P

a.

To determine

Find the joint density of X=RcosΘ and Y=RsinΘ

b.

To determine

Find the marginal densities of X and Y.

c.

To determine

Check whether the density is uniform over the disk or not; if not, modify the method to produce a uniform density.

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