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36) Let X denote the time between detections of a particle with a Geiger counter and...

36) Let X denote the time between detections of a particle with a Geiger counter and assume that X has an exponential distribution with mean 1.4 minutes.
a) Find the probability that we will detect a particle within 30 seconds of starting the counter?
b) Suppose we turn on the Geiger counter and wait 3 minutes without detecting a particle. What is the probability that a particle is detected in the next 30 seconds?
Math   Statistics-And-Probability   
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