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a) IQ scores (as measured by the Stanford-Binet intelligence test) in a certain country are normally...

a) IQ scores (as measured by the Stanford-Binet intelligence test) in a certain country are normally distributed with a mean of 100 and a standard deviation of 20. Find the approximate number of people in the country (assuming a total population of 323,000,000) with an IQ higher than 133. (Round your answer to the nearest hundred thousand.)

b) The mean batting average in a certain baseball league is about 0.230. If batting averages are normally distributed, the standard deviation in the averages is 0.06, and there are 240 batters, what is the expected number of batters with an average of at least 0.400?

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