O-rings Failures of O-rings on the space shuttle were fairly rare, but could be disastrous, events. If we were testing O-rings, suppose that the probability of a failure of any one O-ring is 0.01. Let...

O-rings Failures of O-rings on the space shuttle were fairly rare, but could be disastrous, events. If we were 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?