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Chapter 9: The Normal Probability Distribution
Note:
Note:
In solving problems relating to the standard normal distribution, it
may be helpful if you use the following procedure:
Write out the equivalent probability statement.
Draw a normal curve.
Analyze and shade in the desired probability area under the normal
curve.
Use the tables or appropriate technology to find the desired area.
Section Review
9 - 5 Applications of the Normal Distribution
We can use the standard normal distribution curve to solve problems
involving variables that are normally or approximately normally distributed.
To solve problems involving normal random variables, we can transform the
original normal variable into a standard normal random variable by using
In the equation,
is the value of a normal random variable
X
with mean
and standard deviation
. Once the transformation is made, the problem
may be reduced to one similar to those presented in the previous section.
e-Self Review