Suppose-that-X-and-Y-have-a-discrete-joint-distribution-for-which-the-joint-p-f-is-defined-as-follows-f-x-y-c-x-y-for-x-2-1-0-1-2-and-y-2-1-0-1-2-0-other-wise-Determine-a

Question Number 75524 by mhmd last updated on 12/Dec/19

S u p p o s e t h a t X a n d Y h a v e a d i s c r e t e j o i n t d i s t r i b u t i o n f o r w h i c h t h e j o i n t p . f i s d e f i n e d a s f o l l o w s

f (x, y) = {c ∣ x + y ∣ f o r x = - 2, - 1, 0, 1, 2 a n d y = - 2, - 1, 0, 1, 2

0 o t h e r w i s e

D e t e r m i n e (a) t h e v a l u e o f t h e c o n s t a n t o f c

(b) p r (X = 0 a n d Y = - 2)

(e) p r (X = 1)

(d) p r (∣ x - y ∣⩽ 1)

p l e a s s i r h e l p m e