Psychology and Human Behavior The army emphasizes cleanliness and neatness in a military barracks. Each cadet is responsible for maintaining his or her area in top condition. Periodic inspections are held, and those receiving top scores are rewarded. Suppose the mean number of violations discovered per cadet during a barracks inspection is 2.7.
a. What is the probability that a randomly selected cadet will have exactly three violations during an inspection?
b. If a cadet has six or more violations, he or she is assigned to KP duty for one week. What is the probability that a randomly selected cadet will be assigned to KP duty following a barracks inspection?
c. If every member of a 10-cadet unit has no violations, then each will receive a weekend pass. What is the probability of this happening following a barracks inspection?