[See Steps] According to an article in Newsweek, the rate of water pollution in China is more than twice that measured in the US and more than three times


Question: According to an article in Newsweek, the rate of water pollution in China is more than twice that measured in the US and more than three times the amount measured in Japan. The mean emission of organic pollutants is 11.7 million pounds per day in China. Assume the water pollution in China is normally distributed throughout the year with a standard deviation of 2.8 million pounds of organic emissions per day.

  1. If we were to randomly select a day and measure the emission of organic pollutants, what is the probability that it would exceed 10 million pounds? (Report probabilities rounded to 4 decimal places)
  2. Suppose a claim is made that the true average emission per day is no longer 11.7 million pounds per day. To see if this claim is valid, a sample of 12 days' emissions is taken. What is the probability that the sample mean is greater than 12.2 million pounds per day?
  3. How high would a particular day's emission have to be for it to be considered one of the 16% most polluted emission days?

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