Consider Quick exercise 5.2. For another dart thrower it is given that his distance to the center of

Consider Quick exercise 5.2. For another
dart thrower it is given that his distance to the center of the disc Y is
described by the following distribution function:

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Consider Quick exercise 5.2. For another dart thrower it is given that his distance to the center of
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and G(b) = 0 for b ≤ 0, G(b) = 1 for
b ≥ r.

a. Sketch the probability density function
g(y) = d dyG(y).

b. Is this person “better” than the person
in Quick exercise 5.2?

c. Sketch a distribution function
associated to a person who in 90% of his throws hits the disc no further than
0.1 · r of the center.