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]: =

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 14E
icon
Related questions
Question
Help
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
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
steps

Step by step

Solved in 5 steps with 39 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,