In a photocopy center, there are two small photocopiers, two medium
photocopiers and one big photocopier. The probability
that a small one fails and requires repairs is 0.1, a medium
one fails and requires repairs is 0.08, and the probability
that the big photocopier fails and requires repairs is 0.05.
Assume that all five copiers operate independently.
a. What is the probability that all the photocopiers fail
and require repairs?
b. What is the probability that none of the photocopiers
fails and requires repairs?
c. What is the probability that one of the photocopiers
fails and requires repairs?
d. What is the probability that one of the small photo-
copiers fails and requires repairs?
e. What is the probability that at least one of the five
copiers fails and requires repairs?