3. A clinic has two operation rooms. The service times are assumed to be independent, exponentially...
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3. A clinic has two operation rooms. The service times are assumed to be independent, exponentially distributed with mean 15 minutes. Ayşe arives when both operation rooms are empty. Barış amives 10 minutes later while Ayşe is still under surgery. Another 20 minutes later Can arrives and both Ayşe and Banş are still under surgery. No other patient arrives during this 30-mimute interval. a-) What is the probability that Ayşe will be ready before Barış? b-) What is the probability that Can will be ready before Ayşe? c-) What is the probability that Can will be ready before Banş? d-) Detemine the distribution function of the waiting time in the system for Can. Find the mean and variance. 3. A clinic has two operation rooms. The service times are assumed to be independent, exponentially distributed with mean 15 minutes. Ayşe arives when both operation rooms are empty. Barış amives 10 minutes later while Ayşe is still under surgery. Another 20 minutes later Can arrives and both Ayşe and Banş are still under surgery. No other patient arrives during this 30-mimute interval. a-) What is the probability that Ayşe will be ready before Barış? b-) What is the probability that Can will be ready before Ayşe? c-) What is the probability that Can will be ready before Banş? d-) Detemine the distribution function of the waiting time in the system for Can. Find the mean and variance.
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