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Kindergarten. Companies which design furniture for the elementary school classrooms produce the variety of sizes for kids of different ages.  Suppose the heights of kindergarten children can be stated by Normal distribution with a mean of 37.2 inches and standard deviation of 2.1 inches. 

a) What fraction of kindergarten kids must the company expect to be less than 35 inches tall?

b) In what height interval should the company expect to find the middle 70% of kindergarteners?  Round the results to one significant digit.

c) At least how tall are the biggest 15% of kindergarteners?  (If you give a correct calculation, you get half the points you get for a smart solution.)

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