points$)$ A rod with diameter $1\mathrm{.}5+-0\mathrm{.}004$ inches is designed to fit into a hole with a diameter $1\mathrm{.}504$

$+-0\mathrm{.}004$ inches.

$($a$)$ Is this an interference fit or a clearance fit?

$($b$)$ Is the type of fit guaranteed to stay the same across thousands of parts manufactured to the

specified tolerance?