Find the probability density of the sum W = X+ Y.

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 30E
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3. The probability density functions of two statistically independent random
variables X and Y are
fx(x) = }u(x - 1)e-lx-1)/2
fr(y) =u(y- 3)e-(s-3)/4
Find the probability density of the sum W =X+Y.
Transcribed Image Text:3. The probability density functions of two statistically independent random variables X and Y are fx(x) = }u(x - 1)e-lx-1)/2 fr(y) =u(y- 3)e-(s-3)/4 Find the probability density of the sum W =X+Y.
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