What is the distribution of X + Y when X and Y are independent random variables with uniform distribution in (0, 1)?

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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What is the distribution of X + Y when X and Y are independent random variables with uniform distribution in (0, 1)?

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