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 equal arithmetic means, but their standard deviations may be different.
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 true because the normal curve gets close to the X-axis but never touches it, hence it's asymptotic. 
(ii) is true because there are different normal probability functions, and they form a family of functions. 
(iii) is true because different normal probability distributions can have the same arithmetic mean but different standard deviations.

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