Suppose that X and Y have the following joint probability distribution y 2 4 1 ГО.1 0.151 P(X, Y) = x3 0.2 0.3 5 Lo.1 0.15] a) Evaluate the marginal distribution of X and Y. b) Find P(Y/X) and P(X/Y). c) Find P(Y=2/X=3). d) Find µx , Hy, Ox, oý and oxY-

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 X and Y have the following joint probability distribution
y
2
4
1 ГО.1
0.15
= x3 |0.2
5 Lo.1
P(X, Y)
0.3
0.15]
a) Evaluate the marginal distribution of X and Y.
b) Find P(Y/X) and P(X/Y).
c) Find P(Y=2/X=3).
d) Find µx , Hy, og, oý and oxY.
Transcribed Image Text:Suppose that X and Y have the following joint probability distribution y 2 4 1 ГО.1 0.15 = x3 |0.2 5 Lo.1 P(X, Y) 0.3 0.15] a) Evaluate the marginal distribution of X and Y. b) Find P(Y/X) and P(X/Y). c) Find P(Y=2/X=3). d) Find µx , Hy, og, oý and oxY.
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