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The time it takes a worker on an assembly line to finish a task is exponentially distributed with a mean of 10 minutes. Please answer

The time it takes a worker on an assembly line to finish a task is exponentially distributed with a mean of 10 minutes. Please answer the following questions with the steps listed on how it was solved:

a. What is the probability density function for the time it takes to complete the task?

b. What is the probability that it will take a worker less than 5 minutes to finish the task?

c. What is the probability that it will take a worker between 6 and 12 minutes to complete the task?

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