Metropolitan Power and Light (MPL) tracks peak power usage, measured in gigawatts (GW), for its service area. MPL reports that in January peak daily demand for electrical power follows a normal distribution, with a mean of 4.3 GW and a standard deviation of .8 GW.
For a randomly selected January day:
a. There is a 30% probability that peak demand for electrical power will exceed_____ GW.
b. There is a 45% probability that peak demand will be between 4.0 GW. and _____ GW.
c. Suppose MPL wants to build a power generation capacity that will handle all but the very highest peak demands in January. Specifically, it wants to increase its capacity so that there is only a 1% probability that peak demand will exceed the new capacity. The company should build a generating capacity to meet a peak demand of _____ GW.