ColumbiaX DS101X Certificate

This is to certify that Ralph Cooper successfully completed and received a passing grade in DS101X: Statistical Thinking for Data Science and Analytics a course of study offered by ColumbiaX, an online learning initiative of Columbia University.

Kathy McKeown

Director of the Data Science Institute Henry and Gertrude Rothschild Professor of Computer Science Columbia University

Patricia Culligan

Associate Director of the Data Science Institute Professor of Civil Engineering Columbia University

Garud Iyengar

Professor of Industrial Engineering and Operations Research, Chair of the Department Columbia University

Tian Zheng

Associate Professor of Statistics Columbia University

Verified Certificate Issued February 22, 2017
Valid Certificate ID ace20500a8f8423a882b18124f5a98d7

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