(i. About 95.5% percent of the area under the normal curve is within plus two and minus two standard deviations of the mean. (ii) The normal distribution is a continuous probability distribution.
(iii) In a standard normal distribution, µ = 0 and $\sigma$ = 1.
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) (i) and (ii) are correct statements but not (iii).
E) (i), (ii), and (iii) are all false statements.

Question

(i. About 95.5% percent of the area under the normal curve is within plus two and minus two standard deviations of the mean. (ii) The normal distribution is a continuous probability distribution.
(iii) In a standard normal distribution, µ = 0 and  $\sigma$ = 1.
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) (i) and (ii) are correct statements but not (iii).
E) (i), (ii), and (iii) are all false statements.

Quizplus · Accepted Answer

(i) is a well-known empirical rule of the normal distribution, stating that approximately 95.5% of the data falls within two standard deviations of the mean. (ii) is also a true statement, as the normal distribution is a continuous probability distribution defined over a range of real numbers. (iii) is also accurate, since a standard normal distribution has a mean of 0 and a standard deviation of 1.

(I About 95 σ\sigmaσ = 1 A) (I), (Ii), and (Iii) Are All Correct Statements

(I About 95 $\sigma$ = 1
A) (I), (Ii), and (Iii) Are All Correct Statements