the charge life of a certain lithium-ion battery for camcorders is normally distributed, with mean 90 minutes and standard deviation 35 minutes. a) what is the probability that a randomly selected battery of this type lasts more than 100 minutes on a single charge? is this unusual? b) what is the probability that a random sample of 10 such batteries have a mean charge life of more than 100 minutes? c) what is the probability that a random sample of 25 such batteries have a mean charge life of more than 100 minutes?