Consider the PCFG grammar given below:

S$->$ NP VP $(0\mathrm{.}9)$ S$->$ VP $(0\mathrm{.}1)$

$2024/$fram

NP$->$ DT NN $(0\mathrm{.}8)$

NP $->$ NP PP $(0\mathrm{.}2)$ PP$->$ IN NP

VP $->$ VB $(0\mathrm{.}3)$

abo$/01/07-20$

VP$->$ VB NP $(0\mathrm{.}4)$ VP $->$ VP PP $(0\mathrm{.}3)$ NN$->$ mobile $(0\mathrm{.}3)$ NN $->$ offer $(0\mathrm{.}1)$

$$103,2024$

DT $->$ the VB$->$ buy $(0\mathrm{.}3)$

$11035-$Ve

NN$->$ discount $(0\mathrm{.}2)$ NN $->$ man $(0\mathrm{.}4)$

VB$->$ walk $(0\mathrm{.}7)$

IN $->$ in $(0\mathrm{.}5)$ IN $->$ with $(0\mathrm{.}5)$

Convert the above grammar into CNF form with probabilities. Show all steps.