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Jaden throws darts at circular target of radius r and is equally likely to hit any...

Jaden throws darts at circular target of radius r and is equally likely to hit any point in the target.

Let R be the distance of Jaden’s hit from the center.

(a) Find the variance of R.

(b) Suppose that the target has an inner circle of radius t. If R ≤ t, Jaden gets a score of S = 1/R. Otherwise, his score is S = 0. Find the c.d.f. of S.

Math   Statistics-And-Probability   
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