5 A weather station in a remote area is powered by 10 solar panels, which op- erate independently of each other. The manufacturers state that each solar panel has a probability of failure of 0.085% in any given week. The weather station needs at least six of the solar panels to be working in order to function. a Find the probability that the weather station will not fail in a week. b The weather station is inspected and any necessary maintenance is carried out every six weeks. Find the probability that the weather station will still be functioning when inspected