$1.(9$ points$)$ In this exercise, we will look at the different ways capacity affects overall performance. In general, cache access time is proportional to capacity. Assume we are running a program with $36\%$ memory instructions on two processors P$1$ and P$2.$ P$1$ is a $1\mathrm{.}515$ GHz processor with $2$KiB L$1$ cache that has an $8\%$ miss rate and $1$ cycle hit time. P$2$ is a $1\mathrm{.}11$ GHz processor with $4$KiB L$1$ cache that has an $6\%$ miss rate and $1$ cycle hit time. The memory access time in both is $70$ ns$.$

A$.$What is the Average Memory Access Time for P$1$ and P$2?$

B$.$ Assuming a base CPI of $1\mathrm{.}0$ without any memory stalls, what is the total CPI for P$1$ and P$2?$ Which processor is faster?