In: Statistics and Probability
The amount of sulfur in daily emissions from a power plant has a normal distribution with mean = 134 pounds and standard deviation = 22 pounds.
(a) What is the probability that on any given day, emissions exceed 140 pounds?
(b) Regulations regarding emissions state that a company should not emit more than 970 pounds of sulfur into the atmosphere in a week. What is the probability that in one week the total amount of sulfur emissions for this power plant exceed 970 lbs? Do you think this plant is meeting the regulations?
(c) The probability is 47.06% that the mean daily emission over an n-day period is between 126 and 134 pounds. What is n?