Suppose that on average atoms of a particular radioactive isotope decay to atoms of a stable isotope in 2 minutes.
(a) Let T1 and T2 be the independent decay times of two radioactive atoms in a sample. Compute the cdf of M := max{T1, T2}.
(b) If a sample is known to contain 3 radioactive atoms with independent decay times, what is the probability that the sample will still be radioactive in 4 minutes?
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