Question: An assembly line needs to make 10,000 widgets. The time to make each widget is exponentially distributed with a mean of 3 seconds, and the

An assembly line needs to make 10,000 widgets. The time to make each widget is exponentially distributed with a mean of 3 seconds, and the processing times are independent. These jobs are run in serial (one after the other). a) What is the probability that the first job takes less than 3 seconds? b) Approximately, what is the probability that the server finishes in less than 8.5 hours?

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