Police officers are often associated with eating donuts, so a researcher sets out to collect some data. Suppose that for the population of police officers, the mean number of donuts eaten in a month is 20 with a standard deviation of 5. The distribution is normal. You are curious about the donut eating behavior of your two favorite campus police officers, Officer Entenmann and Officer Hostess. Their scores are 12 donuts for Officer Entenmann and 33 donuts for Officer Hostess. Use this information to answer questions 1 – 6. (For items asking you to sketch a curve, you can attach your file where indicated.) What proportion of officers eat fewer donuts than Officer Entenmann? Include a drawn normal distribution with raw scores AND z-scores on the x-axis up to 3 standard deviations. Label where Officer Entenmann falls on the distribution and shade in the area of interest, and give his z-score. Type the z-score for Officer Entenmann and the proportion of the distribution that eat fewer donuts than him here.