Probability based on Normal Distribution.
Kindergarten. Companies that design furniture for elementary school classrooms produce a variety of sizes for kids of different ages. Assume the heights of kindergarten children can be described by a Normal distribution with a mean of 37.2 inches and standard deviation of 2.1 inches.
a) What fraction of kindergarten kids should 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) As a minimum 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.)