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RE: Learn to Program! - MATLAB 101
Yes, R was primarily designed for statistics, math (linear algebra) and probability. As of late there has been some very good contributors to R that have made very useful packages for data visualization, data wrangling, data cleaning, machine learning tools, text mining, compatability to C++, SQL, etc.
For the person in your office I would think it is very likely she would use R (RStudio). The next choice would be SAS.