Raindrops hit a leaf at rate 7.3/min. What is the probability that the first one hits in

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Raindrops hit a leaf at rate 7.3/min. What is the probability that the first one hits in less than 0.5 min?
Find the probabilities of the above events. Find the associated p.d.f., c.d.f., and survivorship function, and give the expectation and variance.
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