Each day, John is jogging the same route. The times it takes are i.i.d. r.v.s assuming values
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Each day, John is jogging the same route. The times it takes are i.i.d. r.v.’s assuming values between 30 and 31 minutes. Find the distribution of the best result in a week and its expected value in the case where for each separate day
(a) The distribution is uniform on [30,31];
(b) The distribution has the density f(x) = 2(x−30) for x ∈ [30,31]. Compare the expectations and interpret the difference.
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The best time in n days is a rv X 30Y where Y min1n and the s take on values from 0 ...View the full answer
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