The addition of $ HBr $ to symmetrical alkenes is not affected by the presence or absence of peroxide.
$ \underset{2-butene}{\mathop{C{{H}_{3}}-CH=CH-C{{H}_{3}}}}\,\xrightarrow[{}]{HBr/peroxide} $ $ \underset{2-bromobutane}{\mathop{C{{H}_{3}}C{{H}_{2}}\underset{\begin{smallmatrix} | \\ Br \end{smallmatrix}}{\mathop{CH}}\,C{{H}_{3}}}}\, $