quality characteristic has a manufacturing specification $($in cm$)$ of $0\mathrm{.}4$ plus$/$minus $0\mathrm{.}03$ Historical data indicate that if the value of the quality characteristic exceeds by the tolerance of $0\mathrm{.}030$ on either side $,$ the product will require a $ $180\mathrm{.}00$ repair Based on this data $,$ answer the question below $.$