The number of pages printed before replacing the cartridge in a laser printer is normally distributed with a mean of 12,100 pages and a standard deviation of 780 pages. A new cartridge has just been installed. Use R and submit your code in the PDF file.

Find the probability that the printer produces fewer than 11,800 pages?

Find the probability that the printer produces more than 13,000 pages?

Find the probability that the printer produces between 11,000 to 12,750 pages? Using R, show the relevant shaded area on the normal distribution curve for the previous 3 probability questions and use one graph per each probability (you will produce 3 graphs). Report the code and attach the graphs in your pdf file.