Problem #4: We are throwing darts at a disk (i.e. a filled in circle) shaped board of radius 5. We assume that the push dart is a uniformly chosen point in the disk. The board has a disk shaped bullseye with radius 1. Suppose that we throw a dart 1600 times at the board. Estimate the probability that we hit the bullseye at least 62 times.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem #4: We are throwing darts at a disk (i.e. a filled in circle) shaped board of radius 5. We assume that the position of the
dart is a uniformly chosen point in the disk. The board has a disk shaped bullseye with radius 1. Suppose that we
throw a dart 1600 times at the board. Estimate the probability that we hit the bullseye at least 62 times.
Transcribed Image Text:Problem #4: We are throwing darts at a disk (i.e. a filled in circle) shaped board of radius 5. We assume that the position of the dart is a uniformly chosen point in the disk. The board has a disk shaped bullseye with radius 1. Suppose that we throw a dart 1600 times at the board. Estimate the probability that we hit the bullseye at least 62 times.
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