The port of South Louisiana, located along 54 miles of 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 (USA Today, September 25, 2012). Assume that the number of tons of cargo handled per week is normally distributed with a standard deviation of .82 million tons.
a. What is the probability that the port handles less than 5 million tons of cargo per week (to 4 decimals)?
b. What is the probability that the port handles 3 or more million tons of cargo per week (to 4 decimals)?
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