The port of South Louisiana, located along the Mississippi River between New Orleans and Baton Rouge, is the largest bulk cargo port in the world. The U.S. Army Corps of Engineers reports that the port handles a mean of 4.5 million tons of cargo per week. Assume that the number of tons of cargo handled per week is normally distributed with a standard deviation of 0.82 million tons. (keep 3 decimals in your answer) [Hint: since we are not going from the sample to the population, we do not need the standard error here] (1) What is the probability that the port handles less than 5 million tons of cargo per week? ________ (2) What is the probability that the port handles 3 million or more tons of cargo per week? __________ (3) What is the probability that the port handles between 3 million and 4 million tons of cargo per week? ___________
The port of South Louisiana, located along the Mississippi River between New Orleans and Baton Rouge, is the largest bulk cargo port in the world. The U.S. Army Corps of Engineers reports that the port handles a mean of 4.5 million tons of cargo per week. Assume that the number of tons of cargo handled per week is
(1) What is the probability that the port handles less than 5 million tons of cargo per week? ________
(2) What is the probability that the port handles 3 million or more tons of cargo per week? __________
(3) What is the probability that the port handles between 3 million and 4 million tons of cargo per week? ___________
(4) Assume that 85% of the time the port can handle the weekly cargo volume without extending operating hours. What is the number of tons of cargo per week that will require the port to extend its operating hours? _______
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