Radioactive Decay: Mean Life Time & Decay Constant

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roshan2004
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How can we prove that the mean life time of a radioactive decay is reciprocal to the decay constant?
 
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roshan2004 said:
How can we prove that the mean life time of a radioactive decay is reciprocal to the decay constant?
What is the definition of 'mean lifetime' and how would one describe it mathematically?

Think about the survival time for a population of particles that decay, and how N(t) relates to A(t), where A(t) = dN(t)/dt.