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EASTERN MEDITERRANEAN UNIVERSITYFACULTY OF ENGINEERNG
Department of Industrial Engineering
IENG461 System Modeling and Simulation CourseFall 2012-2013
Laboratory
Open Microsoft office> Microsoft Excel
File> New> Blank Workbook
Formula: =NORM.DIST(x,mean,standard_dev,cumulative)
Normal Distribution function
NORM.DIST gives the probability that a number falls at or below a given value of a normal distribution.
Formula: =NORM.INV(probability,mean,standard_dev,)
NORM.INV is the inverse of the NORM.DIST function. It calculates the x variable given a probability.
The percentage of women less than or equal to 68 inches is:
=NORM.DIST(68, 65.5, 2.5, TRUE) = 84.13%
How tall would a woman need to be if she wanted to be among the tallest 75% of American women?
=NORM.INV(0.25, 65.5, 2.5) = 63.81 inches
NORMDIST FUNCTION for Probability
Formula: =NORM.DIST(x,mean,standard_dev,cumulative))
Example1:
Normal Distribution function
Write the formula in B4 Normal Distribution function
Enter Normal Distribution function
Example2:
Normal Distribution function
Write the formula in B5 Normal Distribution function
Enter Normal Distribution function
Simulate standard random normal variable
Formula: =NORM.DIST(RAND(),mean,standard_dev,cumulative)
Example3:
Enter and drag
Simulate standard random normal variable
Formula: =NORM.INV(RAND(),mean,standard_dev)
Example4:
Enter and drag
Simulate uniform random variables
Formula: =RAND()*(b-a)+a
Example5:
Enter and drag
Simulate exponential random variables
Formula: =EXPONDIST(x,lamba,cumulative)For random x : =EXPONDIST(RAND(),lamba,cumulative)
Example6:
Enter and drag
Another way!
FirstFile > Options > Add-Ins > Analysis Tool Pack > Go> Ok
Now :Data> Data Analysis> Random Number Generation>ok
Another way!File > Options > Add-Ins > Analysis Tool Pack > Go> OkNow :Data> Data Analysis> Random Number Generation>ok
You can choose the distribution and fill the blanks easily.
The End