Hospitals contain backup generators in case of power failure. A hospital has two backup generators each of
which has a 2% probability of failure. Only one generator is needed to supply emergency power. What is the
probability that the backup system will work in the case of a power failure?
Thanks
prob(backup system works)
= prob(1 of 2 generators work) + prob(both will work)
= C(2,1)(.98)(.02) + C(2,2) (.98)^2
= .9996