Companies that design furniture for elementary school classrooms produce a variety of sizes for kids of different ages. Suppose the heights of kindergarten children can be described by a Normal model with a mean of 38.2 inches and a standard deviation of 1.8 inches.

Require:
a. What fraction of kindergarten kids should the company expect to be less than 3 feet tall?
b. In what height interval should the company expect to find the middle 80% of kindergarteners?
c. At least how tall are the biggest 10% of kindergarteners?

Question

05-03-2021
Mathematics

Answered

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Companies that design furniture for elementary school classrooms produce a variety of sizes for kids of different ages. Suppose the heights of kindergarten children can be described by a Normal model with a mean of 38.2 inches and a standard deviation of 1.8 inches.

Require:
a. What fraction of kindergarten kids should the company expect to be less than 3 feet tall?
b. In what height interval should the company expect to find the middle 80% of kindergarteners?
c. At least how tall are the biggest 10% of kindergarteners?

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