Mathematics, 20.04.2020 22:46, kikirogers2255

Let Ul , U2 , U3 , U4 , U5 be independent, each with uniform distribution on (0,1). Let R be the distance between the minimum and the maximum of the Ui's. Find
a) E(R);
b) the joint density of the minimum and maximum of the U;'s;
c) P(R> 0.5)
Please do b) and c) and explain in details.

Answers: 3

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Let Ul , U2 , U3 , U4 , U5 be independent, each with uniform distribution on (0,1). Let R be the distance between the minimum and the maximum of the Ui's. Find a) E(R); b) the joint density of the minimum and maximum of the U;'s; c) P(R> 0.5) Please do b) and c) and explain in details.

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Let Ul , U2 , U3 , U4 , U5 be independent, each with uniform distribution on (0,1). Let R be the distance between the minimum and the maximum of the Ui's. Find
a) E(R);
b) the joint density of the minimum and maximum of the U;'s;
c) P(R> 0.5)
Please do b) and c) and explain in details.