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Chapter 6: Q.6.55 (page 268)

Property 4of Key Fact 6.5states that most of the area under the standard normal curve lies between -3and 3. Use Table II to determine precisely the percentage of the area under the standard normal curve that lies between -3 and 3.

Short Answer

Expert verified

The area under the standard normal curve as a proportion of the total area =99.74%.

Step by step solution

01

Given Information

Take a look at a standard normal curve.

0.9987 is the area to the left of 3.

0.0013 represents the area to the right of -3.

02

Explanation

The area between the two points on the standard normal curve -3and 3is equals to the area to the left of 3minus area to the right of -3.

Then, the area under the standard normal curve

=0.9987-0.0013

=0.9974

=99.74%

Hence,

A percentage represents the area under the standard normal curve. localid="1650956164362" 99.74%

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