FINANCIAL ACCOUNTING
FINANCIAL ACCOUNTING
10th Edition
ISBN: 9781259964947
Author: Libby
Publisher: MCG
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No chatgpt used i will give 5 upvotes typing please I need 3 answers
Suppose X and Y are random variables
whose joint pdf is given by
fX, Y (x, y) =
(x^2+1/3xy if 0 < = x
< = 1 and 0 < = y
= 2,
0 otherwise.
(a) Find E[X] and E[Y].
(b) Find P(X <
=
Y).
(c) Set up the integrals to find P(X + Y
< =
1.5) and E[sin(X)Y]
and P(X^2 Y > =
-
-1).
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Transcribed Image Text:Suppose X and Y are random variables whose joint pdf is given by fX, Y (x, y) = (x^2+1/3xy if 0 < = x < = 1 and 0 < = y = 2, 0 otherwise. (a) Find E[X] and E[Y]. (b) Find P(X < = Y). (c) Set up the integrals to find P(X + Y < = 1.5) and E[sin(X)Y] and P(X^2 Y > = - -1).
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