Given the following cache performance parameters: hit time 2 ns, miss rate- 0.1, miss penalty - 10 ns. We are designing a fast memory system. (10 pts) a. What is the average access time of the memory system? b.If we add a level two cache with the following performance parameters: hit time -3 ns, miss rate 0.04, miss penalty 10 ns, what is the new average access time of the memory system? c.Suppose a new DRAM technology for main memory makes the average access time of the memory system to be 2.5 ns. What is the access time of the new memory