The pharmacist at Arnold Palmer Hospital, Wende Huehn-Brown, receives 15 requests for prescriptions each hour, Poisson...

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The pharmacist at Arnold Palmer Hospital, Wende Huehn-Brown, receives 15 requests for prescriptions each hour, Poisson distributed. It takes her a mean time of 3 minutes to fill each, following a negative exponential distribution. The waiting Lq 97 line table is provided below and also we know that W₁=- a) Using the table, the average number of prescriptions in the queue= 2.25 prescriptions (round your response to two decimal places). b) Using the given relationship, the average time a prescription spends in the queue= minutes (round your response to two decimal places). Data table Table: Average Number of Customer in Waiting Line P 10 15 20 25 30 .35 40 45 50 55 .60 .65 70 75 .80 85 .90 .95 1.0 1.2 1.4 1.6 1.8 2.0 Poisson Arrivals, Exponential Service Times Number of Service Channels, M 2 4 1 0111 0264 0500 0833 1285 1884 7666 2666 3681 5000 6722 9000 1.2071 1.6333 2.2500 3.2000 4.8166 8.1000 18.0500 .0008 .0020 .0039 .0069 .0110 .0166 0239 0333 0449 0593 0767 .0976 1227 1523 1873 2285 2767 3333 6748 1.3449 2,8444 7.6734 3 .0019 .0030 .0043 .0061 .0084 .0112 0147 .0189 0239 .0300 0371 0454 0904 1778 3128 5320 .8888 .0031 .0041 0053 0067 .0158 0324 0604 1051 1739 5 0059 0121 0227 0398 The pharmacist at Arnold Palmer Hospital, Wende Huehn-Brown, receives 15 requests for prescriptions each hour, Poisson distributed. It takes her a mean time of 3 minutes to fill each, following a negative exponential distribution. The waiting Lq 97 line table is provided below and also we know that W₁=- a) Using the table, the average number of prescriptions in the queue= 2.25 prescriptions (round your response to two decimal places). b) Using the given relationship, the average time a prescription spends in the queue= minutes (round your response to two decimal places). Data table Table: Average Number of Customer in Waiting Line P 10 15 20 25 30 .35 40 45 50 55 .60 .65 70 75 .80 85 .90 .95 1.0 1.2 1.4 1.6 1.8 2.0 Poisson Arrivals, Exponential Service Times Number of Service Channels, M 2 4 1 0111 0264 0500 0833 1285 1884 7666 2666 3681 5000 6722 9000 1.2071 1.6333 2.2500 3.2000 4.8166 8.1000 18.0500 .0008 .0020 .0039 .0069 .0110 .0166 0239 0333 0449 0593 0767 .0976 1227 1523 1873 2285 2767 3333 6748 1.3449 2,8444 7.6734 3 .0019 .0030 .0043 .0061 .0084 .0112 0147 .0189 0239 .0300 0371 0454 0904 1778 3128 5320 .8888 .0031 .0041 0053 0067 .0158 0324 0604 1051 1739 5 0059 0121 0227 0398

Answer rating: 100% (QA)

b Average time prescription spent in the queue can b... View the full answer