Find the probability that the player will win

Reference no: EM131769095

Question: In a game of darts, a player throws the dart and wins X = 30/D dollars, where D is the distance in inches of the dart from the center of the dartboard. Suppose a player throws the dart in such a way that it lands in a randomly selected point on the 18-inch diameter dartboard. Thus, the probability that it lands in any region of the dartboard is proportional to the region's area, and the probability that it lands in the dartboard is 1.

(a) Find the probability that the player will win more than $10.00.

(b) Find the PDF of X.

Reference no: EM131769095

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