Final answer:
The Shortest Job First (SJF) algorithm yields the minimum average waiting time among the given scheduling algorithms. It operates by prioritizing jobs with the shortest execution time, thus minimizing cumulative waiting times.
Step-by-step explanation:
The scheduling algorithm that gives the minimum average waiting time for processes is the Shortest Job First (SJF) algorithm. This is because SJF prioritizes the processing of the jobs with the shortest duration first, reducing the overall waiting time for other jobs. However, while SJF can offer the least average waiting time, it can lead to starvation, where longer processes may get significantly delayed if shorter processes continue to arrive.
In the scenario described:
- On average, two minutes elapse between the arrival of customers to the store, as stated in a. Therefore, for three customers it would take six minutes on average for all to arrive, as mentioned in b.
- For c, the probability that it takes less than one minute for the next customer to arrive would depend on the specific distribution of arrival times, which in real-world scenarios often follows a Poisson distribution or similar model.
- Similarly, in d, the probability of more than five minutes elapsing before the next customer arrives would also rely on the distribution model.
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