Suppose the joint probability distribution of X and Y is given by f(x,y)= parts (a) through (d). (a) Find P(X ≤ 5,Y = 4). P(X ≤ 5,Y = 4) = (b) Find P(X>5,Y P(X> 5,Y ≤ 5) = (c) Find P(X>Y). P(X>Y)= (Simplify your answer.) (d) Find P(X + Y = 12). P(X+Y= 12) = (Simplify your answer.) ≤ 5). (Simplify your answer.) (Simplify your answer.) 114 for x = 3, 4, 5, 6; y = 4, 5, 6. Complet

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Suppose the joint probability distribution of X and Y is given by f(x,y)=
parts (a) through (d).
(a) Find P(X ≤ 5,Y = 4).
P(X ≤ 5,Y=4)= (Simplify your answer.)
(b) Find P(X>5,Y ≤ 5).
P(X> 5,Y ≤ 5) =
(c) Find P(X>Y).
P(X>Y)= (Simplify your answer.)
(d) Find P(X + Y = 12).
P(X+Y=12)= (Simplify your answer.)
(Simplify your answer.)
x+y
114
for x = 3, 4, 5, 6; y = 4, 5, 6. Complet
Transcribed Image Text:Suppose the joint probability distribution of X and Y is given by f(x,y)= parts (a) through (d). (a) Find P(X ≤ 5,Y = 4). P(X ≤ 5,Y=4)= (Simplify your answer.) (b) Find P(X>5,Y ≤ 5). P(X> 5,Y ≤ 5) = (c) Find P(X>Y). P(X>Y)= (Simplify your answer.) (d) Find P(X + Y = 12). P(X+Y=12)= (Simplify your answer.) (Simplify your answer.) x+y 114 for x = 3, 4, 5, 6; y = 4, 5, 6. Complet
Expert Solution
Step 1

 

  X=3 X=4 X=5 X=6 Total
Y=4 7114 8114 9114 10114 34114
Y=5 8114 9114 10114 11114 38114
Y=6 9114 10114 11114 12114 42114
Total 24114 27114 30114 33114 1
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