Problem 6 (10 points): (a) An average of 9 worker accidents occur in mining facilities in the US every week. What is the probability that during a randomly chosen week, there are less than 4 worker accidents? (b) The number of years until the next volcano eruption on a tropical island is an exponential random variable with average value 70 . Find

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Problem 6 (10 points): (a) An average of 9 worker accidents occur in mining facilities in the US every week. What is the probability that during a randomly chosen week, there are less than 4 worker accidents? (b) The number of years until the next volcano eruption on a tropical island is an exponential random variable with average value 70 . Find the probability that there will be a volcano eruption in the next 57 years.

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