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4.  The grades for a large precalculus class are normally distributed with\\
\ \ \ \ mean 60 and standard deviation 10.\\
\ \\
\ \ \ \ (a) What should the A/B line be if only 5\% of the class is to get A's?\\
\ \ \ \ (b) If the D/C line is 65, what should the C/B line be if 25\% of the class\\
\ \ \ \ \ \ \ \ \ is to get C's?\\
\ \\
5. Of Maryland citizens, 85\% hate country music. 400 citizens are selected\\
\ \ \ \ at random.\\
\ \\
\ \ \ \ (a) What is the expected number of people who hate country music?\\
\ \ \ \ (b) Approximate the probability that more than 350 hate country music.\\
\ \\
6. The number of soda cans bought per week by a person is distributed\\
\ \ \ \ with mean 3 and standard deviation 1.7. We observe the the number of\\
\ \ \ \ cans 100 particular people buy during one particular week.\\
\ \\
\ \ \ \ What is the probability that the average number of cans they buy is\\
\ \ \ \ between 2.9 and 3.2?
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