A binominal variable can take exactly two values.

A binominal variable can take exactly two values.

• A. False
• B. Sometimes
• C. Not defined
• D. True

Answer: (D)

A binomial random variable counts the number of successes in a fixed number of independent Bernoulli trials, each with two possible outcomes. If you limit the scenario to a single trial, you effectively have a Bernoulli variable, which can take exactly two values—0 and 1 (often interpreted as failure and success). That’s why the statement is true in this special case. In general, when there are more than one trial (n > 1), the binomial variable can take many values: 0, 1, 2, ..., n. So the two-value property isn’t true for the typical binomial distribution, but it is true for the single-trial special case.

A binomial random variable counts the number of successes in a fixed number of independent Bernoulli trials, each with two possible outcomes. If you limit the scenario to a single trial, you effectively have a Bernoulli variable, which can take exactly two values—0 and 1 (often interpreted as failure and success). That’s why the statement is true in this special case.

In general, when there are more than one trial (n > 1), the binomial variable can take many values: 0, 1, 2, ..., n. So the two-value property isn’t true for the typical binomial distribution, but it is true for the single-trial special case.