Question: Harry combats drug usage: Incidents of drug usage go on in the bathroom of Harry’s Restaurant. The times of these incidents constitute a. Poisson process of rate 2 per hour. Harry is concerned about this because of the possible effect on business and because he worries about how effective the government’s war on drugs will be. Consequently, Harry visits the bathroom at time points Which constitute a Poisson process of rate 1 per hour. Assume this Poisson process is independent of the Poisson process of drug incidents. Assume also that if a drug incident has occurred, Harry detects it. On his first visit, What is the probability that Harry finds evidence of drug use; i.e. What is the probability that a drug incident occurs before Harry checks the bathroom for the first time?

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