Rutgers University
Graduate School
Industrial and Systems
Engineering
Time: TF 12:00-1:20
540:210 Engineering Probability
Spring 2021
Instructor: Dr. E.A.Elsayed
elsayed@soe.rutgers.edu
14:540:210 Engineering Probability
Assignment 1 Solution
Find excel and MATLAB file including the set of commands attached.
1. First, we generate dataset A using excel normal random number generator and dataset B
using MATLAB, both assuming mean of 333 and std of 10.
Note: The numbers might change a bit as you rerun the files.
a. Mean A= 334
Standard deviation A= 10
Mean B=331.98
Standard deviation B= 9.8
b. Skew A= 0.005 , it is close to 0 and we can consider the set is not skewed
Skew B=-0.179 , it is close to 0 and we can consider the set is not skewed
c. The samples offer a general idea of the overall population of underlying distribution for
2. We
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d. The histograms represent a normal distribution, we can see a symmetric bell curve.
Random number generators in both set A and B come from the same distribution, however,
since the data and samples are randomly generated, we cannot claim they are truly
equivalent because of the randomness that can lead to error in different metrics such as
mean and standard deviation. As the population size increases, both distributions will
become closer to normal distributions and both sets will have closer population means,
standard deviations.