i. A binomial distribution is a continuous probability distribution. ii. To construct a binomial distribution, it is necessary to know the total number of trials and the probability of success on each trial.
iii. If the probability of success remains the same, but n increases, the shape of the binomial distribution becomes more symmetrical.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

- A binomial distribution is not continuous; it is discrete, as it results from a series of trials that have two possible outcomes (success or failure). Therefore, statement (i) is incorrect. Statements (ii) and (iii) are correct. Knowing the total number of trials and the probability of success on each trial is necessary to construct a binomial distribution. As the number of trials (n) increases, while keeping the probability of success the same, the binomial distribution does indeed become more symmetrical, approaching a normal distribution shape.

I a Binomial Distribution Is a Continuous Probability Distribution