In a srever farm such as that used by Amazon or abay,a single failure does not cause the entire system to crash. Intead, it will reduce the number of requests that canbe satisfied at any one time.
If a company has 10000 computers, each with a MTTF of 35 days, and it experiences catastrophic failure only if 1/3 of the computers fail, what is the MTTF for the system? If costs an extra $1000,per computer,to double the MTTF, would this be a good business decision? Show your work.