Question

A set of elementary school student heights are normally distributed with a mean of 105 centimeters and a

standard deviation of 10 centimeters. Faisal is an elementary school student with a height of 103. 1 centimeters.

What proportion of student heights are lower than Faisal's height?

You may round your answer to four decimal places

Answer 1

0.4247

Explanation:

You want to know the proportion of heights less than 103.1 cm if the population is normal with a mean of 105 cm and a standard deviation of 10 cm.

Proportion

The proportion can be found using a suitable probability calculator. The one shown in the attachment tells us ...

the proportion of heights less than 103.1 cm is about 0.4247.

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Additional comment

The height of interest is less than the mean by approximately 0.2 times the standard deviation. This suggests the proportion will be close to, but less than, 0.5000.

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