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Problem 2. Radioactive decay tends to follow an exponential distribution; the half-life of an isotOpe is the time by which there is a 50% probability that decay has occurred. Fermium253 has a half-life of 3 days. What is the mean time to decay? What is the standard deviation of the decay time? What is the 99th percentile? You are conducting an experiment which rst involves obtaining a single fermium253 atom, then ob- serving it over time until it decays. You then obtain a second fermium253 atom, and observe it until it decays; and then repeat this a third time. What is the mean and standard deviation of the total time the experiment will last