how to check the MYSQL setup installed into computer in setup & deployment project

You shouldn't really install MySql: just like SQL Server, it is a multiuser database, and would normally be installed on a separate server, rather than on each individual users computer. If you chek the current PC for an installation, and it isn't present, you should not automatically assume it is correct to install it - the user may want to use a preexisting server based installation.
Otherwise, if you have five users installing your application, they would all get separate databases rather than sharing the same data. If you want to do that, then I would suggest using SqlCE or SQLite as they are only for stand alone database support and require no user administration.