Which of the following is NOT a typical property of a binomial variable?

• A. It takes exactly two values
• B. Common values are 0 and 1
• C. It is used to model yes/no outcomes
• D. It has a continuous range of values

Answer: (D)

A binomial variable counts how many successes occur in a fixed number of independent yes/no trials. Because it is counting discrete events, the possible values are integers from 0 up to n (the number of trials). This makes it a discrete variable, not one with a continuous range. Therefore having a continuous range of values is not a typical property. The idea that it can take two values is true in the special case of a single trial (a Bernoulli situation), and yes/no outcomes are exactly what each trial represents, which is why the binomial distribution models the total number of successes across those trials. So the statement about a continuous range of values doesn’t fit the usual behavior.