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QUESTION

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

The time it takes a worker on an assembly line to finish task is exponentially distributed with a mean of 10 minutes. Please answer the following questions and list out every step used to solve each of the questions:

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

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