Determine the following probabilities: P(X < 0.5,Y < 1.5) and P(X < 0.5) f(x,y) 1/3 1/6 1/6 1/3 -1.0 -0.5 0.5 1.0 O a. P(X <0.5, Y < 1.5) = 2/3 P(X<0.5) = 1/2 O b. P(X <0.5, Y < 1.5) = 1/2 P(X<0.5) = 1/2 O c. None O d. P(X<0.5, Y < 1.5) = 3/8 P(X<0.5)= 3/8 y -2 -1 1 2

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.
Chapter12: Probability
Section12.EA: Extended Application Medical Diagnosis
Problem 2EA
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Determine the following probabilities: P(X < 0.5, Y < 1.5) and P(X < 0.5)
f(x,y)
1/3
1/6
1/6
1/3
-1.0
-0.5
0.5
1.0
O a. P(X <0.5, Y < 1.5) = 2/3
P(X < 0.5) = 1/2
O b. P(X <0.5, Y < 1.5) = 1/2
P(X<0.5) = 1/2
O c. None
O d. P(X <0.5, Y < 1.5) = 3/8
P(X<0.5) = 3/8
y
-2
-1
1
2
Transcribed Image Text:Determine the following probabilities: P(X < 0.5, Y < 1.5) and P(X < 0.5) f(x,y) 1/3 1/6 1/6 1/3 -1.0 -0.5 0.5 1.0 O a. P(X <0.5, Y < 1.5) = 2/3 P(X < 0.5) = 1/2 O b. P(X <0.5, Y < 1.5) = 1/2 P(X<0.5) = 1/2 O c. None O d. P(X <0.5, Y < 1.5) = 3/8 P(X<0.5) = 3/8 y -2 -1 1 2
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