5. Let U and V be independent random variables, with the probability density functions 82 s≥1 { otherwise Find Pr[U ≤ V]. fu(s): fv (t): otherwise

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5. Let U and V be independent random variables, with the probability density functions
√³t² 0≤ t ≤2
{$²
Find Pr[U ≤ V].
fu(s) =
1 s≥1
s²
otherwise
fv(t) =
0 otherwise
Transcribed Image Text:5. Let U and V be independent random variables, with the probability density functions √³t² 0≤ t ≤2 {$² Find Pr[U ≤ V]. fu(s) = 1 s≥1 s² otherwise fv(t) = 0 otherwise
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