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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:Suppose two random variables X and Y are independently distributed as Unif(0, 1). Let
0 = arctan(Y/X), Z = X.
(a) Find the joint pdf of (0, Z) with a clear specification of the support of the pdf.
(b) Find P(0 < Z < 1/2[0). What's the value when 0 = T/4?
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