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Let X denote the time (in min) between detection of a particle with a Geiger counter...

Let X denote the time (in min) between detection of a particle with a Geiger counter and assume that X has an exponential distribution with l=1.4 minutes. a) What is the probability that a particle is detected in the next 0.5 min.?

b) What is the probability that a particle is detected in the next 0.5 min given that we have already been waiting for 3 minutes?

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