Suppose the joint probability distribution of X and Y is given by f(x,y) = x+y , for x=2, 3, 4, 5; y = 3, 4, 5. Complete parts (a) through (d). 90 (a) Find P(X ≤4,Y=4). 7 P(X ≤4,Y=4)= (Simplify your answer.) 30 (b) Find P(X>4,Y≤4). 17 90 P(X>4,Y≤ 4) = (Simplify your answer.) (c) Find P(X>Y). P(X>Y)= 15 (Simplify your answer.) (d) Find P(X + Y = 10). P(X+Y=10)= (Simplify your answer.)
Suppose the joint probability distribution of X and Y is given by f(x,y) = x+y , for x=2, 3, 4, 5; y = 3, 4, 5. Complete parts (a) through (d). 90 (a) Find P(X ≤4,Y=4). 7 P(X ≤4,Y=4)= (Simplify your answer.) 30 (b) Find P(X>4,Y≤4). 17 90 P(X>4,Y≤ 4) = (Simplify your answer.) (c) Find P(X>Y). P(X>Y)= 15 (Simplify your answer.) (d) Find P(X + Y = 10). P(X+Y=10)= (Simplify your answer.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 26E
Related questions
Question
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![Suppose the joint probability distribution of X and Y is given by f(x,y) =
x+y
, for x=2, 3, 4, 5; y = 3, 4, 5. Complete parts (a) through (d).
90
(a) Find P(X ≤4,Y=4).
7
P(X ≤4,Y=4)=
(Simplify your answer.)
30
(b) Find P(X>4,Y≤4).
17
90
P(X>4,Y≤ 4) = (Simplify your answer.)
(c) Find P(X>Y).
P(X>Y)=
15
(Simplify your answer.)
(d) Find P(X + Y = 10).
P(X+Y=10)=
(Simplify your answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F671be518-f9e6-4df9-9304-33791fefeccb%2Fc9c7189e-52c4-49a1-b8b8-6f593d895704%2F97snllv_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose the joint probability distribution of X and Y is given by f(x,y) =
x+y
, for x=2, 3, 4, 5; y = 3, 4, 5. Complete parts (a) through (d).
90
(a) Find P(X ≤4,Y=4).
7
P(X ≤4,Y=4)=
(Simplify your answer.)
30
(b) Find P(X>4,Y≤4).
17
90
P(X>4,Y≤ 4) = (Simplify your answer.)
(c) Find P(X>Y).
P(X>Y)=
15
(Simplify your answer.)
(d) Find P(X + Y = 10).
P(X+Y=10)=
(Simplify your answer.)
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