A machine that builds gas tanks operates in such a way that the capacity of each tank is a normal random variable with mean 16.0 gallons and standard deviation of 0.1 gallons. a. What is the...

A machine that builds gas tanks operates in such a way that the capacity of each tank is a normal random variable with mean 16.0 gallons and standard deviation of 0.1 gallons.

a. What is the probability that a randomly selected tank will hold at least 16.15 gallons?

b. What is the probability that a randomly selected tank will hold between 15.8 gallons and 16.1 gallons?

c. What is the probability that a randomly selected tank will differ from the mean by more than 0.25 gallons?

d. What is the probability that randomly selected tank will differ from the mean by less than 0.05 gallons?