Question

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 986,949 radioactive atoms.

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

Find the probability that on a given day 30 radioactive atoms decayed.
P(X = 30) =

Answer 1

Answer:-

Given that:-

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 986,949 radioactive atoms.

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

mean=

Find the probability that on a given day 30 radioactive atoms decayed.
P(X = 30) =?

where   and

So,