Let X and Y be two discrete random variables with the joint probability distribution is given by: Y= f(x.y) 1 1/6 1/3 1/12 X= 1 1/6 1/12 1/6 Then E ([(X + 2Y)²]) is equal to: 281/12 57/6 None of these 147/12

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Q12
Let X and Y be two discrete random variables with the joint probability distribution is
given by:
Y=
f(x.y)
1
2
1/6
1/3
1/12
X=
1
1/6
1/12
1/6
Then E ([(X + 2Y)²]) is equal to:
281/12
57/6
None of these
O 147/12
Transcribed Image Text:Let X and Y be two discrete random variables with the joint probability distribution is given by: Y= f(x.y) 1 2 1/6 1/3 1/12 X= 1 1/6 1/12 1/6 Then E ([(X + 2Y)²]) is equal to: 281/12 57/6 None of these O 147/12
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