A dart lands uniformly random on a circular target of radius r. Let x and y...

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A dart lands uniformly random on a circular target of radius r. Let x and y be the Cartesian coordinates. Thus, we can view x

math Statistics-And-Probability

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Answer 1

Answer #1

Hey this is your solution.For Illustration I have used equation of circle with radius 2 units but the result will follow for any radius.

& postition I XI -27-7 position 2 x² + y² = 82 (if centre is att origin) soy y = r²x2 so y is obviously dependent on a for co

So obviously they are dependent.

X -4 Y |-12 -3 -5 -2 0 -1 3 0 1 2 4 3 0 3 -5 4 -12 The corelation coefficient is: η = 0 Explanation Step 1: Find X Y XP and Y

This shows correlation so X and Y are uncorrelated.

Please upvote If I am able to help you.

Thanks

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