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

question 133

Multiple Choice

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 1.
iii. The mean of a normal probability distribution is 500 and the standard deviation is 10. About 68
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) (i), (ii), and (iii) are all false statements.

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Definitions:

Mercury

A heavy, silvery d-block element, also known as quicksilver, that is liquid at room temperature and used in thermometers, barometers, and batteries.

Elemental Symbol

A one- or two-letter abbreviation that represents a chemical element (e.g., H for hydrogen, O for oxygen).

Potassium

A soft, silvery-white metallic element, symbol K, with atomic number 19, essential for many biological functions and used in various industrial applications.

Elemental Symbol

A letter or combination of letters representing a chemical element in the periodic table.