suppose you are watching a radioactive Suppose you are watch

Suppose you are watching a radioactive source that emits particles at a rate described by the exponential density where = 1, so that the probability P(0,T) that a particle will appear in the next T seconds is P([0,T]) = dt. Find the probability that a particle (not necessarily the first) will appear within the next second. within the next 3 seconds. between 3 and 4 seconds from now. after 4 seconds from now.

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