Verified Certificate

Supported by the following organizations

This is to certify that Arun Shanmugam Kumar successfully completed and received a passing grade in 18.6501x: Fundamentals of Statistics. a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.

Noted by

Philippe Rigollet

Philippe Rigollet

Professor, Department of Mathematics Massachusetts Institute of Technology

Dimitris Bertsimas

Dimitris Bertsimas

Vice Provost for Open Learning Massachusetts Institute of Technology

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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.