find the correlation coefficient.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Only part E

2. The joint pdf of random variable x and y is
fxy(x, y) = 1⁄2,0 ≤ x ≤ y,0 ≤ y ≤2
2'
Find (a) the marginal pdf f(x) and f(y), (b) the conditional pdfs f(xly) and
fyx), and (c) E{xy=1} and E{xy=0.5}. (d) Are x and y independent? (e)
find the correlation coefficient.
Transcribed Image Text:2. The joint pdf of random variable x and y is fxy(x, y) = 1⁄2,0 ≤ x ≤ y,0 ≤ y ≤2 2' Find (a) the marginal pdf f(x) and f(y), (b) the conditional pdfs f(xly) and fyx), and (c) E{xy=1} and E{xy=0.5}. (d) Are x and y independent? (e) find the correlation coefficient.
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