Companies who design furniture for elementary school classrooms produce a variet

Question

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 a standard deviation of 1.9 inches.
What fraction of kindergarten kids should the company expect to be less than 38 inches tall?
About ____% of kindergarten kids are expected to be less than 38 inches tall. (Round to one decimal place as needed. 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 a standard deviation of 1.9 inches.
What fraction of kindergarten kids should the company expect to be less than 38 inches tall?
About ____% of kindergarten kids are expected to be less than 38 inches tall. (Round to one decimal place as needed.
What fraction of kindergarten kids should the company expect to be less than 38 inches tall?
About ____% of kindergarten kids are expected to be less than 38 inches tall. (Round to one decimal place as needed.

Explanation / Answer

We have mean = 39.2 inches and Standard deviation = 1.9 inches

P(X<38)

P(Z<(38-39.2)/1.9)

P(Z<-0.63158)

= 26.4%

So, About 26.4% of kindergarten kids are expected to be less than 38 inches tall

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