Probability question: A group of n archers shoot at a target

Probability question: A group of n archers shoots at a target

A group of n archers shoot at a target. The distance of each shot from the center of the target is uniformly distributed between 0 to 1, independently of the other shots.

(a) Find the expected distance from the winner’s arrow to the center
(b) Find the expected distance from the loser’s arrow to the center (his arrow is the arrow farthest away from the origin).

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