Promises fill times using the out-of-season assumptions

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Reference no: EM132266619

Rain Pharmaceutical has one pharmacist whose time to fill prescriptions is exponentially distributed with mean of 2 minutes. The company sets its customer promise time by assuming they wish to satisfy 90% of their customers within this time window. The demand for prescription filling services is highly dependent on seasons. During low seasons 12 customers arrive per hour to the pharmacy (assume exponential inter-arrival times). During high seasons, 25 customers arrive per hour to the pharmacy. If Rain mistakenly promises fill times using the "out-of-season" assumptions, what is the probability of a prescription not being ready within the promised time? Enter probability as a three-digit decimal (e.g. 0.400, 0.432, 0.731)

Reference no: EM132266619

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