Download Standard Normal Distribution

T06-02.S Standard Normal Distribution Graphical
Purpose
Allows the analyst to analyze the Standard Normal
Probability Distribution. Probability Scenario's are
calculated for "between", "greater than", and "less than".
The template also allows the analyst to determine a Z
value depending upon a "Cumulative Probability". A
graphical representation of the Probability Scenario is also
shown.
Inputs
Mean & Standard Deviation of Standard Normal Distribution
Probability Scenario
Outputs
Probability Scenario Solution
Graph of Probability Scenario
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Standard Normal Distribution
A normal probability distribution describes many random processes
or continuous phenomena. It is the basis for classical statistical
inference.
f(X) =
f(X)


x

=
=
=
=
=
1
e
2
 X 2
 
 2
Frequency of random variable x
Population standard deviation
=
3.14159; e = 2.71828
Value of random variable (- < x < )
Population mean
=
1
0
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Standard Normal Distribution Example
The Standard Normal Distribution is a Normal Distribution with
mean and standard deviation of 0 and 1, respectively.
For the Standard Normal Distribution what is the probability
a.
b.
c.
d.
Less than 2 standard deviations
More than –3 standard deviations
Between –1 and 1 standard deviations
Determine Z value such that the probability less than Z
is equal to .6800?
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Input the mean, standard deviation, & probability scenario, and the
answer and graph for the Standard Normal Distribution probability
scenario are automatically calculated
T06-02.S - 4
Input the mean, standard deviation, & probability scenario, and the
answer and graph for the Standard Normal Distribution probability
scenario are automatically calculated
T06-02.S - 5
Input the mean, standard deviation, & probability scenario, and the
answer and graph for the Standard Normal Distribution probability
scenario are automatically calculated
T06-02.S - 6
Input the mean, standard deviation, & probability scenario, and the
answer and graph for the Standard Normal Distribution probability
scenario are automatically calculated
Caution: In using
this portion of the
template, you must
enter the problem
such that the input is
the Cumulative
Probability.
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