$(6$ points$)$ In using a temperature probe, the following uncertainties were determined: hysteresis $0\mathrm{.}1$C$,$ linearization error $0\mathrm{.}2\%$ of the reading, repeatability $0\mathrm{.}2$C$,$ resolution error $0\mathrm{.}005$C$,$ zero offset $0\mathrm{.}1$C$.$ Determine the type of these errors $($random or systematic$)$ and the total uncertainty due to these effects for a temperature reading of $120$C$,$ assuming random errors have been determined with more than $30$ samples each.