Mathematics, 16.04.2020 20:43 Talos02
The runner-up in a road race is given a reward that depends on the difference between his time and the winner’s time. He is given 10 dollars for being one minute behind, 6 dollars for being one to three minutes behind, 2 dollars for being 3 to 6 minutes behind, and nothing otherwise. Given that the difference between his time and the winner’s time is uniformly distributed between 0 and 12 minutes, find the mean and variance of the reward of the runnerup.
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The runner-up in a road race is given a reward that depends on the difference between his time and t...
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