A data center contains 1000 computer servers. Each server has probability 0.003 of failing on a given day. a) What is the probability that exactly two servers fail? b) What is the probability that...

A data center contains 1000 computer servers. Each server has probability 0.003 of failing on a given day. a) What is the probability that exactly two servers fail? b) What is the probability that fewer than 998 servers function? c) What is the mean number of servers that fail? d) What is the standard deviation of the number of servers that fail?