Let X be continuous uniform on the interval [0, 2], and Y continuous uniform on [3, 4]. Assume thatX and Y are independent. Use the convolution product to find the PDF of Z = X + Y.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.3: Convex And Concave Functions
Problem 17P
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Let X be continuous uniform on the interval [0, 2], and Y continuous uniform on [3, 4]. Assume that
X and Y are independent. Use the convolution product to find the PDF of Z = X + Y.

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