$1.(20$ Points$)$ Consider two different implementations of the same ISA. The instructions can be divided into classes as follows $($Classes A$,$ B$,$ C$,$ D$)$:

$$

Class

A

B

C

D

CPI $($P$1)$

$1$

$2$

$3$

$3$

CPI $($P$2)$

$2$

$2$

$2$

$2$

$$

P$1$ and P$2$ have clock rate of $2\mathrm{.}5$ GHZ and $3\mathrm{.}0$ GHZ$,$ respectively. Given a program of Dynamic Instruction count of $1\mathrm{.}0$E$6$ instructions divided into classes as follows: $10\%$ class A$,20\%$ class B$,50\%$class C and $20\%$ class D$.$

$$

a$.$ which is faster: P$1$ or P$2?$

b$.$ What is the global $($average$)$ CPI for each implementation?

c$.$ Find the clock cycles required in both cases.

$$