A rate described by the exponential density

Reference no: EM131100991

Suppose you are watching a radioactive source that emits particles at a rate described by the exponential density f (t) = ?e-?t , where ? = 1, so that the probability P (0, T ) that a particle will appear in the next T seconds is P ([0, T ]) = { T ?e-?t dt. Find the probability that a particle (not necessarily the first) will appear

(a) within the next second.

(b) within the next 3 seconds.

(d) after 4 seconds from now.

Reference no: EM131100991

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