i. The total area within any continuous probability distribution is equal to 1.00. ii. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed.
iii. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed.
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

The total area under any continuous probability distribution curve is indeed equal to 1.00, which makes statement (i) correct. For discrete probability distributions, the probability of any specific value can be computed, making statement (iii) correct. However, for continuous probability distributions, the probability of a specific value, P(x), is always 0 because the distribution is over a continuum of values, making statement (ii) incorrect.

I the Total Area Within Any Continuous Probability Distribution Is