Verified Certificate

Supported by the following organizations

This is to certify that gulshan joshi successfully completed and received a passing grade in STAT110x: Introduction to Probability a course of study offered by HarvardX, an online learning initiative of Harvard University.

Noted by

Joseph K. Blitzstein

Joseph K. Blitzstein

Professor of the Practice in Statistics Harvard University

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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.