High School

A set of elementary school student heights is normally distributed with a mean of 105 centimeters and a standard deviation of 5 centimeters.

What proportion of student heights are between 93 centimeters and 100.5 centimeters?

You may round your answer to four decimal places.

Answer :

Answer:

0.1759

Step-by-step explanation:

The student's heights between 93 centimeters and 100.5 centimeters will be 0.17586.

What is the z-score?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A bunch of primary school understudy levels is regularly circulated with a mean of 105 centimeters and a standard deviation of 5 centimeters.

The student's heights between 93 centimeters and 100.5 centimeters will be given as,

z = (93 - 105) / 5

z = -2.4

z = (100.5 - 105) / 5

z = -0.9

Then the proportion is given as,

P(93 < x < 100.5) = P(-2.4 < z < -0.9)

P(93 < x < 100.5) = 0.17586

The student's heights between 93 centimeters and 100.5 centimeters will be 0.17586.

More about the z-score link is given below.

https://brainly.com/question/15016913

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