A computer whose processes have $1024$ pages in their address spaces keeps its page tables in memory. The overhead required for reading a word from the page table is $5\: nsec.$ To reduce this overhead, the computer has a $TLB,$ which holds $32$ (virtual page, physical page frame) pairs, and can do a lookup in $1\: nsec.$ What hit rate is needed to reduce the mean overhead to $2\: nsec?$