Which of the following statements about the binomial distribution is not correct?

a. Each trial results in a success or failure.

b. Trials are independent of each other.

c. The probability of success remains constant from trial to trial.

d. The random variable of interest is continuous.

d.

Step-by-step explanation:

For binomial distribution The only incorrect option of all the options is

d. The random variable of interest is continuous is false because the binomial variable is discrete in nature and not continuous.

All the other options are correct for the binomial distribution.

d. The random variable of interest is continuous.

Step-by-step explanation:

Binomial distribution:

a. Each trial results in a success or failure.

The given statement is true regarding binomial distribution. There only two possible outcome for a trial in a binomial distribution, success or failure.

b. Trials are independent of each other.

The given statement is true regarding binomial distribution.

c. The probability of success remains constant from trial to trial.

The given statement is true regarding binomial distribution.

d. The random variable of interest is continuous.

The given statement is not correct as binomial distribution is a discrete distribution. The random variable of interest is discrete and cannot take any value within an interval.