The experiment consists of tossing a fair die twice X: Counts the number odds Y: Counts the number of 3's With a bit of care (I used excel for assistance - see last page) we find: Px,y(x, y) = P(X = x, Y + y) x = 0 x = 1 y = 0 9/36 12/36 4/36 x = 2 Py (y) = P(Y = y) Marginal density for Y 25 36 y = 1 0 6/36 4/36 10 36 1 y = 2 0 0 1/36 36 Px(x) = P(X = x) Marginal density for X 36 alm 9 353 9 1 36 36

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.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...
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How do you calculate the values in this table?

The experiment consists of tossing a fair die twice
X: Counts the number odds
Y: Counts the number of 3's
With a bit of care (I used excel for assistance - see last page) we find:
Px,y(x, y) = P(X = x, Y + y)
x = 0
x = 1
y = 0
9/36
12/36
4/36
x = 2
Py (y) = P(Y = y)
Marginal density for Y
25
36
y = 1
0
6/36
4/36
10
36
1
y = 2
0
0
1/36
36
Px(x) = P(X = x)
Marginal density for X
36
alm
9
353
9
1
36
36
Transcribed Image Text:The experiment consists of tossing a fair die twice X: Counts the number odds Y: Counts the number of 3's With a bit of care (I used excel for assistance - see last page) we find: Px,y(x, y) = P(X = x, Y + y) x = 0 x = 1 y = 0 9/36 12/36 4/36 x = 2 Py (y) = P(Y = y) Marginal density for Y 25 36 y = 1 0 6/36 4/36 10 36 1 y = 2 0 0 1/36 36 Px(x) = P(X = x) Marginal density for X 36 alm 9 353 9 1 36 36
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