3. Let X and Y be two random variables with and fy(y) = 10, fxy(x|y) = 2/3, if 0 ≤ y ≤1 otherwise, ye-, if r 20 0. otherwise.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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3. Let X and Y be two random variables with
and
fy(y):
=
fxy(x|y) =
y²/3, if 0 ≤ y ≤1
0,
otherwise,
Find E[X].
Give your answers to two decimal places.
Sye-v², if x ≥ 0
0,
otherwise.
Transcribed Image Text:3. Let X and Y be two random variables with and fy(y): = fxy(x|y) = y²/3, if 0 ≤ y ≤1 0, otherwise, Find E[X]. Give your answers to two decimal places. Sye-v², if x ≥ 0 0, otherwise.
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