Failures of O-rings on the space shuttle are fairly rare, but often disastrous, events. If we are testing O-rings, suppose that the probability of a failure of any one O-ring is 0.01. Let X be the number of failures in the next 10 O-rings tested.
a) What model might you use to model X?
b) What is the mean number of failures in the next 10 O-rings?
c) What is the probability that there is exactly one failure in the next 10 O-rings?
d) What is the probability that there is at least one failure in the next 10 O-rings?