Let t = 32;
Given the joint distribution P(X = i, Y = j) := p(i, j) as:
p(1, 1) = 8/32,
p(1, 2) = 8/32,
p(1, 3) = 4/32,
p(2, 1) = 4/32,
p(2, 2) = 2/32,
p(2, 3) = 6/32,
calculate (with full justification):
i. E[X];
ii. E[Y ];
iii. E[Y | X = 1] and E[X | Y = 2].
Let t = 32; Given the joint distribution P(X = i, Y = j) := p(i, j) as: p(1, 1) = 8/32, p(1, 2) = 8/32, p(1, 3) = 4/32,
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