can you explain in extra detail why the the answer to part b is 0.05? I want to make sure my logic is correct.

$1. Suppose that $ X $ and $ Y $ have a discrete joint distribution for which the joint probability function is \[ p(x, y)$

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can you explain in extra detail why the the answer to part b is 0.05? I want to make sure my logic is correct.

$1. Suppose that $ X $ and $ Y $ have a discrete joint distribution for which the joint probability function is \[ p(x, y)$

1. Suppose that

X

and

Y

have a discrete joint distribution for which the joint probability function is

p (x, y) = {k ? x + y ? 0 for x = ? 2, ? 1, 0, 1, 2 and y = ? 2, ? 1, 0, 1, 2 otherwise.

(a) Determine the value of the constant,

k

. (b) Determine

P (X = 0, Y = ? 2)

. (c) Determine

P (X = 1)

. (d) Determine

P (? X ? Y ? ? 3)

.

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