United Airlines has a regular flight from L.A. to Boston. 100 seats are reserved for
passengers from two small towns, Boom and Westbend. The number of passengers from
Boon is normally distributed with a mean 35 and a variance 144. The number of
passengers from Westbend is also normally distributed with a mean 40 and a variance
100. The number of passengers from these two towns has a correlation of 0.6 What is
the probability that all 100 seats on the L.A. flight will be filled? (10%)
Bags of a chemical produced by a company have impurity weights that can be represent
by a normal distribution with mean 12.2 grams and standard deviation 2.8 grams. A
random sample of 400 of these bags is taken. What is the probability that at least 100 of
them contain less than 10 grams of impurities? (12%)
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