The times to process orders at the service counter of a pharmacy are exponentially distributed with mean 10 minutes. If 100 customers visit the counter in a 2-day period, what is the probability that at least half of them need to wait more than 10 minutes?
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Given that the processing time follows an exponential distribution with mean 10 minutes, the probability that a customer needs to wait more than 10 minutes can be calculated as: \[ P(Y > 10) = \int_{10}^{\infty} \frac{1}{10} e^{-\frac{y}{10}} dy \] \[ = Show more…
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