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In: Statistics and Probability

A space shuttle has 6 O-rings. When launched an O-ring has the probability of failure of...

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?

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