Yearly amounts of greenhouse gases from U.S. energy sources since 1990 are normally distributed, with a mean of 5774 million metric tons carbon dioxide equivalent (MMT \(\mathrm{CO}_{2}\) eq.) and a standard deviation of 333 MMT \(\mathrm{CO}_{2}\) eq. Find the probability that the amount of greenhouse gases from energy sources for a randomly selected year is

(a) less than \(5500 \mathrm{MMT} \mathrm{CO}_{2}\) eq.

(b) between 6000 and \(6500 \mathrm{MMT} \mathrm{CO}_{2}\) eq.

(c) greater than \(5900 \mathrm{MMT} \mathrm{CO}_{2}\) eq.