Say that a simple random sample of size 15 will be drawn from a population comprised of N members, exactly 30% of whom own a car. Provide answers to the following to three decimal places.

(a) Computing directly using the definition of a probability sample, and presuming that the population size is N =, what is the chance that at most one of those sampled owns a car?

(b) And if instead the population size is N =2*, what is the chance that at most one of those sampled owns a car?
NOTE: It is worth comparing your answers to (a) and (b). Is the size of the population playing an important role in the chance of getting a very non-representative sample?