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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 979,293 radioactive​ atoms, so 20,707 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.

Math   Statistics-And-Probability   
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Answer #1

X : number of atoms decayed per day

the number of atoms decayed is random and the decaying is uniformly distributed.

so, we can say that,

a). the mean number of radioactive atoms that decayed in a day be:-

b). the pmf of the distribution is:-

the probability that on a given​ day, 50 radioactive atoms decayed be:-

*** if you have any doubt regarding the problem please write it in the comment box...if you are satisfied please give me a LIKE if possible...

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