(b) Consider two random variables X and Y which both take the values 0, 3 and 6. The joint probabilities for each pair are given by the following table: X=0|X=3 | X = 6 Y=0 0.12 0.08 0.20 Y = 3 0.10 0.0 0.14 Y=6 0.08 0.06 0.16 Calculate P(Y=3 | X > 2). ii. Define U= X and V Y-31. Calculate the covariance of U and V.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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(b) Consider two random variables X and Y which both take the values 0, 3
and 6. The joint probabilities for each pair are given by the following table:
X=0| X=3 | X
Y = 0
0.12 0.08 0.20
Y = 3
0.10 0.06 0.14
Y = 6
0.08 0.06
0.16
Calculate P(Y=3 | X > 2).
X and V=Y-3. Calculate the covariance of U and V.
=
i
ii. Define U
明明
Transcribed Image Text:(b) Consider two random variables X and Y which both take the values 0, 3 and 6. The joint probabilities for each pair are given by the following table: X=0| X=3 | X Y = 0 0.12 0.08 0.20 Y = 3 0.10 0.06 0.14 Y = 6 0.08 0.06 0.16 Calculate P(Y=3 | X > 2). X and V=Y-3. Calculate the covariance of U and V. = i ii. Define U 明明
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