Consider the following joint probabilities table for X and Y, where x = 1, 2, 3 and y = 1, 2, 3, 4. X\Y 1 2 3 1 0.05 0.2 0.15 2 3 0.1 0.05 4 0.01 0.02 0.25 0.07 0.01 0.03 0.06 Using the marginal probability functions for X and Y, calculate the following expected values: E[X] = E[Y] = E[4X +5] = E[X + 2Y + 3]: =
Consider the following joint probabilities table for X and Y, where x = 1, 2, 3 and y = 1, 2, 3, 4. X\Y 1 2 3 1 0.05 0.2 0.15 2 3 0.1 0.05 4 0.01 0.02 0.25 0.07 0.01 0.03 0.06 Using the marginal probability functions for X and Y, calculate the following expected values: E[X] = E[Y] = E[4X +5] = E[X + 2Y + 3]: =
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![Consider the following joint probabilities table for X and Y, where x = 1, 2, 3 and y = 1, 2, 3, 4.
X\Y
1
2
3
=
1
0.05
0.2
0.15
Using the marginal probability functions for X and Y, calculate the following expected values:
E[X]
E[Y]
E[4X +5] =
E[X + 2Y+3] =
=
2
3
4
0.1
0.05 0.01
0.02
0.25
0.07
0.01 0.03
0.06](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80864b91-d3a3-4910-ac0e-8d4cb607fd82%2Fef85f243-6dc0-476a-88bb-2d17b1c25c5b%2F69l1s5q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following joint probabilities table for X and Y, where x = 1, 2, 3 and y = 1, 2, 3, 4.
X\Y
1
2
3
=
1
0.05
0.2
0.15
Using the marginal probability functions for X and Y, calculate the following expected values:
E[X]
E[Y]
E[4X +5] =
E[X + 2Y+3] =
=
2
3
4
0.1
0.05 0.01
0.02
0.25
0.07
0.01 0.03
0.06
Expert Solution
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Step 1: Given information
Consider the following joint probabilities table for and
, where
and
:
X\Y | 1 | 2 | 3 | 4 |
1 | 0.05 | 0.1 | 0.05 | 0.01 |
2 | 0.2 | 0.02 | 0.25 | 0.07 |
3 | 0.15 | 0.01 | 0.03 | 0.06 |
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