Question

When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed...

When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed to 979,634 radioactive​ atoms, so 20,366 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, 51 radioactive atoms decayed.

Math   Statistics-And-Probability   
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Answer #1

solution:

given that

When studying radioactive​ material

a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed to 979,634 radioactive​ atoms

also mentioned that

20,366 atoms decayed during 365 days

a.

Finding the mean number of radioactive atoms that decayed in a day :

the mean number of radioactive atoms that decayed in a day = 20366/365

= 55.7972

b.

Finding the probability that on a given day, 51 radioactive atoms decayed:

the probability that on a given day, 51 radioactive atoms decayed = e-55.797×61.51251/51!

  

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