Assume that in the backup web-server problem that we stated in class, the main server is more reliable than the backup server - the probability that the main server fails is 1% while the probability that the backup server fails is 5%. As in class, suppose that the two servers fail independently. Under this modification, find out the chance that: (Show your work)
a) Both servers fail.
b) Exactly one of the servers fails.
c) At least one of the servers fails.
d) Do you think the assumption that the two servers fail independently is realistic? What would make it more realistic? What would make it less realistic?