Problem 3. If e x-1- -e-xy , 1x2,y 0. y Fx,y(x,y) = ey -2y e 1- x > 2, y ≥ 0. 0, otherwise. (a) Find the marginals Fx (x) and Fy (y). (b) Determine whether X and Y are independent or not.

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.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 36E: Find all points on the graph of fx=x3+9x2+19x-10 where the slope of the tangent line is -5.
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Problem 3.
If
e
x-1-
-e-xy
,
1x2,y 0.
y
Fx,y(x,y) =
ey
-2y
e
1-
x > 2, y ≥ 0.
0,
otherwise.
(a) Find the marginals Fx (x) and Fy (y).
(b) Determine whether X and Y are independent or not.
Transcribed Image Text:Problem 3. If e x-1- -e-xy , 1x2,y 0. y Fx,y(x,y) = ey -2y e 1- x > 2, y ≥ 0. 0, otherwise. (a) Find the marginals Fx (x) and Fy (y). (b) Determine whether X and Y are independent or not.
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