Originally Posted by
ebaines
Start with understanding what "range" and "domain" mean. This is one of those problems where once you understand the vocabulary, figuring out the answer is pretty simple.
The domain of a function is the set of values that are possible for the independent variable - in this case n. So here you need to determine what are the values for n that "work." For example: n could be 2 (meaning the probability of getting 2 heads in the 3 tosses), but it couldn't possibly be -2. So write down the possible values of n, and you have your domain.
The range is the set of all possible resulting values of the function. So here that means the possible values of P(n). Since P(n) is a probability it could never be negative, and could never exceed 1, but I will leave it to you to get a bit more specific as to the true range for P(n).