The number of bombardment necessary to achieve the, Ask an Expert

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Find the probability based on the geometric distribution.

A random variable has p.f. p(x) = θx-1(1- θ), x = 1, 2...
Establish the lack of memory property for the r.v., namely that:
P (X > t+a | X >A) = P(X >t).

The number of bombardment necessary to achieve the disintegration of a certain nucleus is assumed to have the distribution above. In one sequence in which b bombardments are available, of these have already failed to disintegrate the nucleus. What is the possibility that nucleus will be disintegrated the end of series?

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