What is NOT true about normal distribution? We can expect approximately 99.7% of the possible outcomes to fall within three standard deviations above and below the mean We can expect approximately half of the possible outcomes to be positive and half to be negative We can expect approximately 95% of the possible outcomes to fall within two standard deviations above and below the mean It is completely defined by two numbers: mean and standard deviation It is bell shaped and symmetric

What is NOT true about normal distribution? We can expect approximately 99.7% of the possible outcomes to fall within three standard deviations above and below the mean We can expect approximately half of the possible outcomes to be positive and half to be negative We can expect approximately 95% of the possible outcomes to fall within two standard deviations above and below the mean It is completely defined by two numbers: mean and standard deviation It is bell shaped and symmetric

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section10.2: Probability Distributions For Input Variables

Problem 2P: Use Excels functions (not @RISK) to generate 1000 random numbers from a normal distribution with...

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Use Excels functions (not @RISK) to generate 1000 random numbers from a normal distribution with mean 100 and standard deviation 10. Then freeze these random numbers. a. Calculate the mean and standard deviation of these random numbers. Are they approximately what you would expect? b. What fraction of these random numbers are within k standard deviations of the mean? Answer for k = 1; for k = 2; for k = 3. Are the answers close to what they should be (about 68% for k = 1, about 95% for k = 2, and over 99% for k = 3)? c. Create a histogram of the random numbers using about 10 bins of your choice. Does this histogram have approximately the shape you would expect?
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