Q: A computer system has a two$-$level cache hierarchy consisting of a Level $1($L$1)$ cache and a Level $2$

$($L$2)$ cache. The system services memory requests with the following characteristics:

$$ L$1$ cache serves $3000$ memory requests, out of which $2550$ requests result in a cache hit.

$$ L$2$ cache serves $2800$ memory requests, out of which $2520$ requests result in a cache hit.

$$ L$1$ cache access time: $1$ nanosecond $($ns$)$

$$ L$2$ cache access time: $10$ ns

$$ Main memory access time $($miss penalty$)$: $100$ ns

Calculate the following:

$1.$ The percentage of memory accesses that result in a cache hit in the L$1$ cache.

$2.$ The percentage of memory accesses that result in a cache hit in the L$2$ cache.

$3.$ The number of memory accesses that result in a cache miss in both the L$1$ and L$2$ caches.

$4.$ The effective access time $($EAT$)$ for this cache hierarchy.