3.Two random variables X and Y have the following joint probabilities:x = 1x = 2x = 3x = 5y = 1y = 20.050.10.050.050.090.01y = 40.10.210.04Determine the values of E[X], E[Y], E[(3X – 2Y)²].0.10.050.15

The joint probability distribution of X and…

3. Two random variables X and Y have the following joint probabilities: x = 1 x = 2 x = 3 x = 5 0.1 0.05 0.1 0.09 0.01 0.05 y = 4 0.1 0.21 0.04 0.15 Determine the values of E[X], E[Y], E[(3X – 2Y)²]. y = 1 y = 2 0.05 0.05

3. Two random variables X and Y have the following joint probabilities: x = 1 x = 2 x = 3 x = 5 0.1 0.05 0.1 0.09 0.01 0.05 y = 4 0.1 0.21 0.04 0.15 Determine the values of E[X], E[Y], E[(3X – 2Y)²]. y = 1 y = 2 0.05 0.05

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.4: Expected Value

Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...

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Question

3.
Two random variables X and Y have the following joint probabilities:
x = 1
x = 2
x = 3
x = 5
y = 1
y = 2
0.05
0.1
0.05
0.05
0.09
0.01
y = 4
0.1
0.21
0.04
Determine the values of E[X], E[Y], E[(3X – 2Y)²].
0.1
0.05
0.15

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Step 3: Calculating marginal distribution of y, E(X), E(Y) and E(3X-2Y)^2)

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