Question $3$: Cache Hierarchy $(10$ points$)$

Assume a cache hierarchy, where we have separate cache for instructions and data where the miss

penalty for both is $100$ cycles. The miss rate of the instruction cache is $4\%$; on the other hand, the

miss rate for the data cache is $8\%.$ If the processor has a CPI of $1\mathrm{.}2$ without any memory stalls.

Assume the frequency of all loads and stores is $20\%($combined$).$ Calculate the effective CPI of the

system, by accounting for the cache miss penalty.