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May 4th, 2017, 10:35 AM   #1
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Finding a cdf

Let U, V be random numbers chosen independently from the interval [0, 1]
with uniform distribution. Find the cumulative distribution and density of each of the variables.req ual
(b) Y = |U − V |.

Attempt: I used P (Y < or equal to y), I took the positive side of the absolute value and got P (U-V < or equal to y). Later I thought about isolating u to get P (U < or equal to y+V). Thus, J figured the cdf would be F (y)=y+V after using a theorem. However, it was wrong. How should I find the correct cdf?
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May 4th, 2017, 12:04 PM   #2
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you're letting theorems and formulas get in the way of you understanding what's going on.

see if you can sketch the area in [0,1]x[0,1] where |U-V|<c, c some constant in [0,1]

no formulas... just common sense and an understanding of the absolute value function.
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