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Q107Section III (Statistics)107 of 190

Reading a joint pmf table directly to find P[X=2Y]P[X=2Y]

Let the joint distribution of (X, Y) be specified by the table with X∈{1,2,3,4}X\in\{1,2,3,4\} and Y∈{1,2}Y\in\{1,2\}: row Y=1Y{=}1 gives 1/16,3/32,1/8,5/321/16, 3/32, 1/8, 5/32 and row Y=2Y{=}2 gives 3/32,1/8,5/32,3/163/32, 1/8, 5/32, 3/16 (for X=1,2,3,4X=1,2,3,4 respectively). Then P[X=2Y]P[X=2Y] is:

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