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Please show detailed steps, thanks (10 pts) Suppose you throw 10 darts at a Cartesian plane, with X and Y coordinates of the dart following

Please show detailed steps, thanks

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(10 pts) Suppose you throw 10 darts at a Cartesian plane, with X and Y coordinates of the dart following a standard normal distribution, NU], 1). Each dart throw is independent. of each other. (a) (5 pts) Find the prolaalziilitjir that each dart is between 3 units and 5 units away from the origin of the Cartesian plane. (b) (5 pts) Let D1. D1.) be the distance each dart is away from the origin of the Cartesian plane. Find the density of 90:} where Dun, is the km order statistic

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