Supported by the following organizations
This is to certify that Thomas O'Byrne successfully completed and received a passing grade in FC1x: Data Analysis: Basic Probability and Statistics a course of study offered by HarvardX, an online learning initiative of Harvard University.
Noted by
Benedict Gross
Leverett Professor of Mathematics, Emeritus Harvard University
Joseph Harris
Higgins Professor of Mathematics Harvard University
Emily Riehl
Assistant Professor, Department of Mathematics Johns Hopkins University
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- Verified Certificate Issued December 22, 2025
- Valid Certificate ID 7f327fa4c5424284b02add9fb3dd997b