When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed to 974 comma 840 radioactive​ atoms, so 25 comma 160 atoms decayed during 365 days. a. Find the mean number of radioactive atoms that decayed in a day. (Round to three decimal places as​ needed.) b. Find the probability that on a given​ day, 50 radioactive atoms decayed. (Round to six decimal places as​ needed.)

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