Q$2$: Consider a non$-$overlapped memory system that has two levels of memories.

The cache memory has an access time of $100$ ns and the RAM memory has an

access time of $1200$ ns$.$

$($a$)$ If the effective access time is $50\%$ greater than the cache access time. What

is the hit ratio H$?$

$($b$)$Suppose that we can change the cache design such that we get H equals to

$0\mathrm{.}9916.$ Calculate the new effective access time and determine if this change

improves the performance or not?