Radioactive atoms are unstable because they have too much energy. When they release their extra energy, they are said to decay. When studying a particular radioactive element, it is found that during the course of decay over 365 days, 1,000,000 radioactive atoms are reduced to 984,795 radioactive atoms.

Find the mean number of radioactive atoms lost through decay in a day.
mean =

Find the probability that on a given day 48 radioactive atoms decayed.
P(X = 48) =