The table information below contains data from a tailings particle size distribution test. Sieve size $($mm$)$ and Mass retained on sieve $($g$)$:

$4\mathrm{.}75$mm and $28$g

$2$mm and $38$g

$\mathrm{.}85$mm and $48$g

$\mathrm{.}425$mm and $98$g

$\mathrm{.}25$ and $95$g

$\mathrm{.}15$ and $82$g

$\mathrm{.}075$ and $80$g

$0\mathrm{.}02$ and $39$g

$0\mathrm{.}002$ and$18$g

Pan and $15$g

a$)$ Plot the particle size distribution for these tailings.

b$)$ If the Liquid Limit of the fines fraction was $45$ and the Plastic Limit was $24,$ classify these tailings according to the USCS.

c$)$ If the fines fraction were found to be non$-$plastic, classify the tailings according to the USCS.