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3.2. A radioactive source emits particles according to a Poisson process of rate A = 2 particles per minute. (a) What is the probability that

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3.2. A radioactive source emits particles according to a Poisson process of rate A = 2 particles per minute. (a) What is the probability that the first particle appears some time after three minutes but before five minutes? (b) What is the probability that exactly one particle is emitted in the in- terval from three to five minutes

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