Duracell manufactures AA batteries for use in a wide variety of commercial products. The production line of Duracell is designed and operated in such a way that X, the voltage of any given battery produced on the line, is a normal random variable having a mean of 1.5V and a standard deviation of 0.01V.

a. What proportion of batteries has a voltage of 1.515 V or less?
b. What is the probability that the voltage of a produced battery exceeds 1.49 V?
c. What is the probability that the voltage of a produced battery is at least 1.48 V but no more than 1.52 V?
d. Find the battery voltage x such that 2.5% of the batteries produced have a voltage greater than x.
e. Find the battery voltage x such that 1% of the batteries produced have a voltage less than x.