Math Problem Solver

In a dart game the player wins at a circular target having a radius of 25 centimeters. Let X be the

distance (in centimeters) between the dart’s impact point and the center of the target. Suppose

that P(X ≤ x) = cπx^2, 0 ≤ x ≤ 25and =1, x >25, where c is a constant.Evaluate .It costs 1$to throw a dart and the player wins 10 dollars if X ≤ r, 1 dollar if r < X ≤ 2r, 0 dolar if 2r < X ≤ 25. For what values of r is the average gain of the player equal to 0.25$