$(15$ Points$)$ Computer C$360$ is built with no pipelining in single cycle of $7$ ns: IF $1$ ns$,$ ID $1\mathrm{.}5$ ns$,$ EX

$1$ ns$,$ MEM $2$ ns$,$ and WB $1\mathrm{.}5$ ns$.$ Designers consider building C$470$ using a five stage pipeline

based on C$360$ data.

a$)$ What is the clock cycle time of the C$4705-$stage pipeline?

b$)$ If there is a stall every four instructions, what is the CPI of C$470?$

c$)$ What is the speedup of C$470$ over C$360$ assuming Parts b