IND ENG 161 Study Guide - Midterm Guide: Poisson Point Process

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Find the probability that there are at least 3 storms this season: incidents of drug usage occur in the bathroom of harry"s restaurant. The times of these incidents constitute a poisson process of rate two per hour. Harry is concerned about this because of the possible e ect on business and because he worries about how e ective the government"s war on drugs will be. Consequently, harry visits the bathroom at time points which constitute a poisson process of rate one per hour. Assume this poisson process is independent of the poisson process of drug incidents. Rst time? (b) what is the expected time until harry detects evidence of drug use: customers arrive at a store at rate = 10 per hour. Given that there were 8 arrivals in a certain one hour period, what is the probability that none of these people arrived in either the. Rst or last 10 minutes: a warehouse has 30 gallons of gas.