Expected Value 4

Probability Level pending

Let X X be the smallest of 6 numbers chosen randomly and uniformly on the interval [ − 1 , 1 ] . [-1,1]. What is the expected value of X 2 X^2 ?


The answer is 0.57142857142.

Christopher Criscitiello by Christopher Criscitiello , 25, USA

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1 solution

Hint: The answer is 4 / 7 4/7

For the more general case, see link text

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Can you give us more explanation? Thanks.

Pi Han Goh - 3 years, 6 months ago

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@Pi Han Goh - for the more general case, see:

https://brilliant.org/problems/expected-value-5/?auto login key=oeQW5cuo6tObKXWJ50cl8RwTS4ZNt2qF04dSucDl65#!/solution-comments/181774/284709

Christopher Criscitiello - 3 years, 6 months ago

Should we use Order Statistics ?

Kushal Bose - 3 years, 6 months ago

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@Kushal Bose - for the more general case, see:

https://brilliant.org/problems/expected-value-5/?auto login key=oeQW5cuo6tObKXWJ50cl8RwTS4ZNt2qF04dSucDl65#!/solution-comments/181774/284709

Christopher Criscitiello - 3 years, 6 months ago

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