i. For a normal probability distribution, about 95 percent of the area under normal curve is within plus and minus two standard deviations of the mean and practically all (99.73 percent) of the area under the normal curve is within three standard deviations of the mean.
Ii) The total area under the normal curve is 100%.
Iii) The mean of a normal probability distribution is 500 and the standard deviation is 10. About 95 percent of the observations lie between 480 and 520.
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) All statements are false

Question

Quizplus · Accepted Answer

(i) and (ii) are correct statements because they are true about the normal probability distribution. (iii) is also a correct statement because it can be calculated using the empirical rule.

I for a Normal Probability Distribution, About 95 Percent of the Area