Verified Certificate

Supported by the following organizations

This is to certify that Krystyna Kachnic Shirah successfully completed and received a passing grade in ISYE6739xI: Probability and Statistics I: A Gentle Introduction to Probability a course of study offered by GTx, an online learning initiative of the Georgia Institute of Technology.

Noted by

Dr. David Goldsman

Dr. David Goldsman

Director of Master's Programs and Professor Georgia Institute of Technology

About edX

edX offers interactive online classes and MOOCs from the world’s best universities, including MIT, Harvard, Berkeley, University of Texas, and many others. edX is a mission driven initiative created by founding partners Harvard and MIT.

About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.