An accident occurs at a point X and is uniformly distributed on a road of length L. An ambulance is at the location Y which is also uniformly distributed on the same road. Assume X and Y are...

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An accident occurs at a point X and is uniformly distributed on a road of length L. An ambulance is at the location Y which is also uniformly distributed on the same road. Assume X and Y are independent, find the expected distance between the ambulance and accident.


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Answered Same DayDec 20, 2021

Answer To: An accident occurs at a point X and is uniformly distributed on a road of length L. An ambulance is...

Robert answered on Dec 20 2021
133 Votes
StandarduniformStandardtriangular.dvi
Theorem The difference of two independent standard uniform ra
ndom variables has the
standard trianglular distribution.
Proof Let X1 and X2 be independent U(0, 1) random variables. Let Y = X1 − X2. The
joint probability density function of X1 and X2...
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