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A checkout counter at a supermarket completes the process according to an exponential distribution with a...

A checkout counter at a supermarket completes the process according to an exponential distribution with a service rate of 6 per hour. A customer arrives at the checkout counter. Find the probability of the following events.

a) The service is completed in fewer than 5 minutes.

b) The customer leaves the counter more than 10 minutes after arriving.

c) The service is completed in a time between 5 and 8 minutes.

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