a) The random variables X and Y have the joint probability mass function given by P(x, y) = *+3y Construct a joint probability table for the two variables using the blank table below. for x 1,2 and y = 1,2. 24 Y P(x) 1 1 P(y) b) Find E(x) c) Find E (Y)

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a) The random variables X and Y have the joint probability mass function
x+3y
given by P(x, y) =
for x = 1,2 and y = 1,2.
24
Construct a joint probability table for the two variables using the blank
table below.
Y
P(x)
1
2
1
P(y)
b) Find E(x)
c) Find E (Y)
d) Find E (XY)
e) Find the covariance of X and Y .
f) Are the two variables in dependent?
g) Find the conditional distribution of X given Y = 1.
h) Find Pr(X +Y > 2)
i) Find F(2,1)
Transcribed Image Text:a) The random variables X and Y have the joint probability mass function x+3y given by P(x, y) = for x = 1,2 and y = 1,2. 24 Construct a joint probability table for the two variables using the blank table below. Y P(x) 1 2 1 P(y) b) Find E(x) c) Find E (Y) d) Find E (XY) e) Find the covariance of X and Y . f) Are the two variables in dependent? g) Find the conditional distribution of X given Y = 1. h) Find Pr(X +Y > 2) i) Find F(2,1)
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