Find the Value of a Normal Random Variable

question 16

Multiple Choice

Find the Value of a Normal Random Variable
-Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.15 ounces and a standard deviation of 0.04 ounce. The company is interested in reducing the amount of extra beer that is poured into the 12 ounce bottles. The company is seeking to identify the highest 1.5% of the fill amounts poured by this machine. For what fill amount are they searching

• A) 12.237 oz
• B) 11.913 oz
• C) 12.063 oz
• D) 12.087 oz

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Definitions:

Functionalism

A sociological theoretical viewpoint that sees society as a complicated system with components that collaborate to foster cohesion and stability.

Social Order

The organized and patterned social arrangements which are maintained through social, legal, and political institutions to provide a sense of stability and predictability to societal members.

Conflict Theory

A theoretical framework that views social and economic differences as the cause of division and conflict in society, emphasizing power dynamics and material inequality.

Sexual Violence

Any sexual act or attempt to obtain a sexual act by violence or coercion, acts directed against a person's sexuality, regardless of the relationship to the victim.