Suppose that the following table is the joint probability distribution of two random variables X and Y: -2 2 3 0.27 0.08 0.16 0.2 5 0.1 0.04 0.1 0.05 (a) (b) (c) (d) (e) Find the conditional PDF of y=2 and 5 given that x=3 has occurred. State conditional PDF in terms of Joint and marginal PDFS. 2.

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Suppose that the following table is the joint probability distribution of two random
variables X and Y:
-2
2
3
0.27
0.08
0.16
0.2
Y
5
0.1
0.04
0.1
0.05
Find the conditional PDF of y=2 and 5 given that x=3 has occurred.
State conditional PDF in terms of Joint and marginal PDFS.
2.
Transcribed Image Text:Suppose that the following table is the joint probability distribution of two random variables X and Y: -2 2 3 0.27 0.08 0.16 0.2 Y 5 0.1 0.04 0.1 0.05 Find the conditional PDF of y=2 and 5 given that x=3 has occurred. State conditional PDF in terms of Joint and marginal PDFS. 2.
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