$2\mathrm{.}32.$ For a Poisson process N$.$t$/$ with arrival rate $2$ compute: $($a$)$ P$.$N$\mathrm{.}2/$ D $5/,($b$)$

P$.$N$\mathrm{.}5/$ D $8$jN$\mathrm{.}2/$ D $3,($c$)$ P$.$N$\mathrm{.}2/$ D $3$jN$\mathrm{.}5/$ D $8/.$