Due to climate change, armadillos are starting to be occasionally spotted in Champaign county. Suppose that there are currently 14 armadillos in Champaign county, and that the probability of any one of these armadillos being spotted is 0.30. Moreover, suppose that we leading a team of researchers whose task is to spot (that is, to look for and identify) armadillos in Champaign county.

a. (0.5 points) What kind of experiment is this? Justify your answer in terms of the five properties of this type of experiment described in your lecture notes.

b. (0.5 points) What would be the expected (i.e., mean) number of armadillos to be spotted in Champaign county?

c. (0.5 points) What is the probability of spotting less than four armadillos?

d. (0.5 points) What is the probability of spotting between one and three armadillos?