Question

Let X 1 X 2 X 3 ∼ f X 1 X 2 X 3 where T X i = { 0 , 1 }, for each i . If f X 1 X 2 X 3 ( 0 , 0 , 1 ) = 1/ 5 , f X 3 ( 0 ) = 2/ 5 , f X 2 | X 3 = 1 ( 0 ) = 2/ 3 , find f X 1 | X 2 = 0 , X 3 = 1 ( 0 ) .

Answer 1

Answer:

x=1 X 2 X 3

If f X 1 X 2 X 3 ( 0 , 0 , 1 ) = 1/ 5

X 3 ( 0 ) = 2/ 5 , f X 2 | X 3 = 1 ( 0 )

find f X 1 | X 2 = 0 , X 3 = 1 ( 0 ) .