Question

A distribution of measurement is relatively mound-shaped with mean 50 and standard deviation 10. a.) What...

A distribution of measurement is relatively mound-shaped with mean 50 and standard deviation 10.
a.) What proportion of the measurements will fall between 40 and 60?
b.) What proportion of the measurements will fall between 30 and 70?
c.) What proportion of the measurements will fall between 30 and 60?

Math   Statistics-And-Probability   
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Answer #1

Answer-

Given that

A distribution of measurement is relatively mound- shaped with mean 50 and standard deviation 10.

By empirical rule

a) What proportion of the measurements will fall between 40 and 60.

The proportion of measurements that will fall between 40 and 60 is 68% it means 0.68

b) What proportion of the measurements will fall between 30 and 70.

The proportion of measurements that will fall between 30 and 60 is 95%

c) What proportion of the measurements will fall between 30 and 60.

Proportion of measurements that will fall between 30 and 60 is given by probability.

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