(i. About 95.5% percent of the area under the normal curve is within plus one and minus one standard deviation 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) (ii) and (iii) are correct statements but not (i).

Question

(i. About 95.5% percent of the area under the normal curve is within plus one and minus one standard deviation 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) (ii) and (iii) are correct statements but not (i).

Quizplus · Accepted Answer

(i) is incorrect because about 68% of the area under the normal curve is within plus one and minus one standard deviation of the mean, not 95.5%. (ii) is correct as the normal distribution is indeed a continuous probability distribution. (iii) is also correct because in a standard normal distribution, the mean (µ) is 0 and the standard deviation (σ) is 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