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Nicholas likes to play the game Go. The time for Nicholas to place a stone follows Exponential Distribution with standard deviation 30 seconds. Nicholas collects

Nicholas likes to play the game Go. The time for Nicholas to place a stone follows Exponential Distribution with standard deviation 30 seconds. Nicholas collects a random sample of50 of the stones placed by himself.Find the probability that average time for Nicholas to place a stone on the vacant intersections of a board is between 25 seconds and 35 seconds.

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