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1 It's Me , Hi , I ' m the ( First ) Problem, It's Me Swifties arrive at SoFi Stadium at a rate of

1 It's Me, Hi, I'm the (First) Problem, It's Me Swifties arrive at SoFi Stadium at a rate of \lambda =13 Swifties per minute, and they are processed through security at a rate of \mu =7 Swifties per minute. Describe how I might figure out what the mean time between arrivals is, then find it. Describe how I might find the variance of the security processing time, then find it. In queueing, the utilization of a processing station (like the security here) is given by \rho =(\lambda )/(\mu ). Find the utilization, then describe what it means (in the practical sense) that the utilization is greater than 1. To get Taylor's attention, I'm thinking about running a regression analysis for her. Describe why using regression to predict the time spent waiting in line is a bad idea here. (Assume that Taylor Swift loves properly conducted regression analyses.)

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