7.The joint PDF of two RVs X and Y is given by- u(x)u(y)fx,y (x, y) =Evaluate the following:a) Pr{2 < X ≤ 4, -1

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RVS X and Y is given by e-1-1 12 fxy(x, y): Evaluate the following: a) Pr{2 < X < 4, -1

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

Section9.2: Partial Derivatives

Problem 28E

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Question

7.
The joint PDF of two RVs X and Y is given by
- u(x)u(y)
fx,y (x, y) =
Evaluate the following:
a) Pr{2 < X ≤ 4, -1 <Y ≤ 5}
b) Pr{0 < X ≤co, -∞ <Y ≤-2}
c) Evaluate E[X²Y].
a) P(2 < x≤ 4,-2825
4
12
У
=
2
Ž
12
u(a) u (y) dx d
<(~)~(g)

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