### Binomial distribution: US Space Shuttle redundant systems reliability: a. Find the probability that this shuttle component functions successfully if n = 2. b. Find the probability that this shuttle component functions successfully if n = 4.

Many vehicles used in space travel are constructed with redundant systems to protect the flight crew and their equipment. In other words, backup systems are included with many vehicle components so that if one or more systems fail, backup systems will assure the safe operation of the given component and thus the entire vehicle.