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Seventy independent messages are sent from an electronic transmission center. Messages are processed sequentially, one after another. Transmission time of each message is Exponential with

Seventy independent messages are sent from an electronic transmission center. Messages are processed sequentially, one after another. Transmission time of each message is Exponential with parameter = 5 per minute. Find the probability that all 70 messages are transmitted in less than 12 minutes. Use the Central Limit Theorem. Round your answer to 4 decimal places.

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