Using the Table to represent f(x,y) and if g(X,Y)=(x+y). How would f(0,2), x=0 a
ID: 3205563 • Letter: U
Question
Using the Table to represent f(x,y) and if g(X,Y)=(x+y). How would f(0,2), x=0 and y=2 be represented in the probability function? (Refer to slides 15 and 16)
X
f(x,y)
0
1
2
Row totals
y | 0
3/28
3/14
3/28
12/28
y | 1
3/14
9/28
15/28
y | 2
1/28
1/28
Column Totals
5/14
15/28
3/28
1
(1 + 1)*3/14
(0)*(1)*3/28
(0 + 2)*1/28
(1)*(1)*3/14
X
f(x,y)
0
1
2
Row totals
y | 0
3/28
3/14
3/28
12/28
y | 1
3/14
9/28
15/28
y | 2
1/28
1/28
Column Totals
5/14
15/28
3/28
1
Explanation / Answer
as corresonding function is (x+y) hence its value at x=0, y=2 =(0+2)
also corresponding probabilty is 1/28
hence option C ic correct.
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