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###### PLEASE SHOW WORK TO GET FULL CREDITProblem 5) This problem has two independent parts a) and b) a) The time between calls to a research laboratory is exponentially distributed with a mean of 10 minutes. i) What is the probability that there are no calls within 30 minutes? (6 points) (Round your answer to four decimal places)ii) Determine X such that the probability that there are no calls within X minutes is 0.01. points) (Round your answer to three decimal places)

PLEASE SHOW WORK TO GET FULL CREDIT Problem 5) This problem has two independent parts a) and b) a) The time between calls to a research laboratory is exponentially distributed with a mean of 10 minutes. i) What is the probability that there are no calls within 30 minutes? (6 points) (Round your answer to four decimal places) ii) Determine X such that the probability that there are no calls within X minutes is 0.01. points) (Round your answer to three decimal places)

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