Companies who 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 39.2 inches and standard deviation of 1.9 inches.  a) What fraction of kindergarten kids should the company expect to be less than 38 inches​ tall? b) In what height interval should the company expect to find the middle 60​% of​ kindergarteners? c) At least how tall are the biggest 10​% of​ kindergarteners?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Companies who 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 39.2 inches and standard deviation of 1.9 inches. 

a) What fraction of kindergarten kids should the company expect to be less than 38 inches​ tall?

b) In what height interval should the company expect to find the middle 60​% of​ kindergarteners?

c) At least how tall are the biggest 10​% of​ kindergarteners?

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