The PDF of the two independent random variables X and Y are shown in the image below. fx(x) fy(y) 1/2 A 0 X -2 -1 0 Suppose Z = X + Y. Determine the probability density value at z = 1/2 y =0, fz(0).

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
Section13.1: Continuous Probability Models
Problem 28E
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Please help me. I need to learn. (Hint: Answer is NOT 0, 0.25, 0.33, 0.5, 0.67, 0.75, nor 1)

The PDF of the two independent random variables X and Y are shown in the image below.
fx(x)
fy(y)
44
-2
1/2
X
2
-1
0
1/2
y
Suppose Z = X + Y. Determine the probability density value at z = 0, fz(0).
Transcribed Image Text:The PDF of the two independent random variables X and Y are shown in the image below. fx(x) fy(y) 44 -2 1/2 X 2 -1 0 1/2 y Suppose Z = X + Y. Determine the probability density value at z = 0, fz(0).
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