i. Asymptotic, means that the normal curve gets closer and closer to the X-axis but never actually touches it. ii. When referring to the normal probability function, there is not just one of them; there is a "family" of them.
iii. Some normal probability distributions have different arithmetic means and different standard deviations.
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

(i) is correct as the normal curve is asymptotic, i.e., it gets closer and closer to the X-axis but never touches it.
(ii) is correct as there is a "family" of normal probability distributions, differentiated by their means and standard deviations.
(iii) is correct as different normal probability distributions can have different arithmetic means and standard deviations.

I Asymptotic, Means That the Normal Curve Gets Closer and Closer