When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 971,559 radioactive atoms, so 28,441 atoms decay during 365 days. a. Find the mean number of radioactive atoms that decayed in a day. b. Find the probability that on a given day, 50 radioactive atoms decayed. a. The mean number of radioactive atoms that decay per day is (Round to three decimal places as needed.) b. The probability that on a given day, 50 radioactive atoms decayed, is (Round to six decimal places as needed.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 971,559 radioactive atoms, so 28,441 atoms decayed
during 365 days.
a. Find the mean number of radioactive atoms that decayed in a day.
b. Find the probability that on a given day, 50 radioactive atoms decayed.
a. The mean number of radioactive atoms that decay per day is
(Round to three decimal places as needed.)
b. The probability that on a given day, 50 radioactive atoms decayed, is
(Round to six decimal places as needed.)
C
Transcribed Image Text:When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 971,559 radioactive atoms, so 28,441 atoms decayed during 365 days. a. Find the mean number of radioactive atoms that decayed in a day. b. Find the probability that on a given day, 50 radioactive atoms decayed. a. The mean number of radioactive atoms that decay per day is (Round to three decimal places as needed.) b. The probability that on a given day, 50 radioactive atoms decayed, is (Round to six decimal places as needed.) C
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