uniformly distributed in the interval [0, 1]. Find the probability of each of the following events. (a) X > 6/10. (b) Y < X. (c) X + Y ≤ 3/10.

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Problem 17.
Let X and Y be independent random variables, with each one
uniformly distributed in the interval [0, 1]. Find the probability of each of the following
events.
(a) X > 6/10.
(b) Y<X.
(c) X+Y≤3/10.
(d) max{X,Y} ≥ 1/3.
(e) XY ≤ 1/4.
Transcribed Image Text:Problem 17. Let X and Y be independent random variables, with each one uniformly distributed in the interval [0, 1]. Find the probability of each of the following events. (a) X > 6/10. (b) Y<X. (c) X+Y≤3/10. (d) max{X,Y} ≥ 1/3. (e) XY ≤ 1/4.
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