Suppose we have a processor with a clock rate of 1 GHz. Assume a main memory access time of 100 ns, L-3 cache has access time of 20 ns, L-2 cache has access time of 10 ns and L-1 cache has access time of 1 ns. The miss rate for level-1 cache is 10%, level-2 is 5% and level-3 is 1%. Note that miss penalty is given in nanoseconds, not in terms of clock cycles. (a) Compute the miss penalties for main memory, L-3 cache, L-2 cache in terms of number of cycles. (b) Compute the AMAT if there is only L-1 cache in the system. (c) How much faster the processor be if we add L-2 cache. (d) How much faster the processor be if we also add L-3 cache.