How to cite references

Question

I am writing my PhD dissertation in LaTeX and want to include a bibliography, obviously. However, I'm having problems making this work at all. Instead of trying to make it work in my multiple dissertation LaTeX files, I made a minimum working example of it, but not even that works! Can anybody please help me with telling me what I'm doing wrong? I want an author year citation style, by the way. No numbers, just citations of author year in the text and a reference list sorted alphabetically at the end.

This is my minimum working example, example.tex:

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[backend=biber,style=alphabetic,citestyle=authoryear]{biblatex}
\addbibresource{library.bib}

\begin{document}
This is a test \cite{bakerstair}.

\printbibliography
\end{document}

Here's the content of my library.bib file:

@Article{bakerstair,
  author = {Baker, Doran J. and Stair, A. T.},
  title = {Rocket measurements of the altitude distributions of the hydroxyl airglow},
  journal = {Physica Scripta},
  year = {1988},
  volume = {37},
  pages = {611-622},
}

Error messages I get after running PdfLaTeX + Bib(la)tex + PdfLaTeX(x2) + View Pdf in TeXMaker:

example.tex. Warning. line 9. Citation 'bakerstair' on page 1 undefined.
example.tex. Warning. line 11. Empty bibliography.
example.tex. Warning. line 1. There were undefined references.
example.tex. Warning. line 1. Please (re)run Biber on the file: example and rerun LaTeX afterwards.

I have no idea what I'm doing wrong and it's driving me crazy.