Problem $2(15$ marks$)$

A sample distribution $($closely approximating a normal distribution$)$ of a critical part dimension has an average of $11\mathrm{.}85$ inches and a sample standard deviation of $1\mathrm{.}33$ inches. The lower specification limit is $11\mathrm{.}41$ inches. The upper specification limit is $12\mathrm{.}83$ inches. What percentage of parts will be produced below the lower specification limit of $11\mathrm{.}41$ inches?