Q$6$ Suppose that in $1000$ memory references there are $60$ misses in the first level cache and $30$ misses in the second$-$level cache.

$($a$)\backslash \{2$ marks $\backslash (\backslash \}\backslash )$ What are the local miss rate and global miss rate of each cache?

$($b$)\backslash \{3$ marks $\backslash \}$ Assume the miss penalty from the L$2$ cache to memory is $180$ clock cycles, the hit time of the L$2$ cache is $8$ clock cycle, the hit time of L$1$ is $1$ clock cycle. What is the average memory access time? $($ignore the impact of writes$)$

$($c$)\backslash \{3$ marks$\backslash \}$ What would be the average memory access time if we just have the L$1$ cache $($i$.$e$.,$ we remove the L$2$ cache$)?$ Note that the penalty of L$1$ in this case will be $180$ clock cycles.