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A coal-fired power plant releases some radioactive substances into the air. For example, a 1000-MW coal plant releases a mean of 5200 kg of uranium

A coal-fired power plant releases some radioactive substances into the air. For example, a 1000-MW coal plant releases a mean of 5200 kg of uranium per year, with a standard deviation of 1300 kg. The release of uranium follows a normal distribution.

a) What is the probability that the plant will release less than 4000 kg of uranium in a given year?

b) What is the probability that the plant will release more than 6000 kg of uranium in a given year?

c) What is the probability that the release will be within 10% of the mean?

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