please answer all the questions with details

Suppose that a system has 32-bit physical addresses, 48-bit virtual addresses and page size is 8KB. Let us also assume that accessing a page directly from main memory takes 100ns, while having to retrieve the page from the disk takes 2ms. Answer the following: a) What is the maximum required page fault rate in order to ensure average memory access time does not increase more than 25% of the direct memory access time? b) A Translation Lookaside Buffer (TLB) is added to the system. In case of a TLB hit, memory access is reduced to 30ns. The TLB hit rate is 95%. What is the average access time if we assume a page fault rate of 0.005%