1. Show the range of (X,Y), Rxy, in the x – y plane. 2. Find the constant c. 3. Find the marginal PDFS fx (x) and fy(y).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 1E
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Let X and Y be jointly continuous
random variables with joint PDF
fxx(x, y)
x, y > 0, x + y < 1
сх + 1
otherwise
1. Show the range of (X,Y), RxY,
in the a – y plane.
-
2. Find the constant c.
3. Find the marginal PDFS fx(x)
and fy(y).
Transcribed Image Text:Let X and Y be jointly continuous random variables with joint PDF fxx(x, y) x, y > 0, x + y < 1 сх + 1 otherwise 1. Show the range of (X,Y), RxY, in the a – y plane. - 2. Find the constant c. 3. Find the marginal PDFS fx(x) and fy(y).
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