1) To determine the size of the llama population, 26 llamas were caught and fitted with radio collars. Each month, the rangers will see 12 llamas and record how many have radio collars. At the next month's meeting, the magical forest rangers predict that 5 of the 12 llamas sighted are expected to have radio collars.

a) What type of distribution does this model?

b) Using a formula from this unit, what is the approximate size of the llama population (to the nearest full llama )? You must solve this algebraically for full marks. Show all steps for full marks. It may be helpful to write down your given information like we do in lessons.

c) Now, the magical rangers realize it's fairly impossible to exactly predict exactly how many of the llamas they see each month will have collars. Given the size of the population in b) (you can just make a number up if you could not solve b), determine the probability that approximately 31% of the llamas the rangers will see the following month will have radio collars.