Question: Bob is trying to hit the center of a. circular disc of radius 1 meter with an arrow. His arrows hit the disc at points which are uniformly distributed on the disc.

1. Bob hits the disc at a distance R from the center. Find the PDF of R.
2. What is the expected number of trials needed to hit within a distance of 0.1 meter from the center of the disc?
3. Given that R < 0.1 meter, what is the conditional expectation of R?

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