In: Statistics and Probability
A space shuttle has 6 O-rings. When launched an O-ring has the probability of failure of .014. Whether an O-ring fails is the independent of the other O-rings.
a.)What is the probability that during 23 launches no O-ring fails, but that at least one O-ring will fail during the 24th launch?
b.) What is the probability the space shuttle will go no more than 10 launches without an O-ring failure?
c.) What is the mean number of launches until an O-ring failure?
d.) The first 10 launches of the space shuttle have no O-ring failures. What is the probability the space shuttle will have 15 launches without any O-ring failure?