$($a$)$ Based on the electron domain theory, draw a $3-$dimensional representation of the molecular geometry around the central atom of the bromoiodate anion, $I_{2}B{r}^{-}.$

$($b$)$ Name the type of hybrid orbitals that the central atom forms.

$($c$)$ Name the molecular geometry of the compound.

$($d$)$ Is the molecule polar or non$-$polar? Explain your answer.

$($e$)$ Calculate the bond energy of I$-$Br$.$ Express your answer in $k\frac{J}{m}ol.$ Data: bond dissociation energies $(k\frac{J}{m}$old : $I-I=150$ and $Br-Br=195.$