Agasoline tank for a certain car is designed to hold 14.0 gal of gas. suppose that the variable x = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with mean 14 gal and standard deviation 0.2 gal. (round all answers to four decimal places.)
(a) what is the probability that a randomly selected tank will hold at most 13.7 gal?
p(x ? 13.7) =
(b) what is the probability that a randomly selected tank will hold between 13.4 and 14.3 gal?
p(13.4 ? x ? 14.3) =
(c) if two such tanks are independently selected, what is the probability that both hold at most 14 gal?
p(x ? 14) =