Answered: 1. If X and Y have joint density…

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1. If X and Y have joint density function find fx,y (x, y) = [1/x, if 0

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.

Chapter6: Applications Of The Derivative

Section6.4: Related Rates

Problem 2E: Assume x and y are functions of t. Evaluate dydtfor each of the following. 8y3+x2=1; dxdt=2,x=3,y=1

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Question

1. If X and Y have joint density function
find
fx,y (x, y) =
[1/x, if 0<x< 1, 0 <y<x
0,
otherwise
(a) E[XY];
(b) E[X];
(c) E[Y].
Give your answers to three decimal places.

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