Suppose the joint probability distribution of X and Y is given by f(x,y) = x+y 90 for x 2, 3, 4, 5; y = 3, 4, 5. Complete parts (a) through (d). (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 P(X>4,Y≤4)= (Simplify your answer.) 90 (c) Find P(X> Y). P(X>Y)= (Simplify your answer.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 26E: Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5...
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Suppose the joint probability distribution of X and Y is given by f(x,y) =
x+y
90
for x 2, 3, 4, 5; y = 3, 4, 5. Complete parts (a) through (d).
(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
P(X>4,Y≤4)=
(Simplify your answer.)
90
(c) Find P(X> Y).
P(X>Y)= (Simplify your answer.)
Transcribed Image Text:Suppose the joint probability distribution of X and Y is given by f(x,y) = x+y 90 for x 2, 3, 4, 5; y = 3, 4, 5. Complete parts (a) through (d). (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 P(X>4,Y≤4)= (Simplify your answer.) 90 (c) Find P(X> Y). P(X>Y)= (Simplify your answer.)
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