Which of the Following Assignments of Probabilities to the Sample $P ( A ) = \frac { 1 } { 5 } , P ( B ) = \frac { 1 } { 9 } , P ( C ) = \frac { 1 } { 6 }$

question 116

Short Answer

Which of the following assignments of probabilities to the sample points A, B, and C is valid if A, B, and C are the only sample points in the experiment?

A) $P ( A ) = \frac { 1 } { 5 } , P ( B ) = \frac { 1 } { 9 } , P ( C ) = \frac { 1 } { 6 }$

B) $P ( A ) = 0 , P ( B ) = \frac { 1 } { 9 } , P ( C ) = \frac { 8 } { 9 }$

C) $P ( A ) = \frac { 1 } { 10 } , P ( B ) = \frac { 1 } { 10 } , P ( C ) = \frac { 1 } { 10 }$

D) $P ( A ) = - \frac { 1 } { 4 } , P ( B ) = \frac { 1 } { 2 } , P ( C ) = \frac { 3 } { 4 }$

• A) \(P ( A ) = \frac { 1 } { 5 } , P ( B ) = \frac { 1 } { 9 } , P ( C ) = \frac { 1 } { 6 }\)
• B) \(P ( A ) = 0 , P ( B ) = \frac { 1 } { 9 } , P ( C ) = \frac { 8 } { 9 }\)
• C) \(P ( A ) = \frac { 1 } { 10 } , P ( B ) = \frac { 1 } { 10 } , P ( C ) = \frac { 1 } { 10 }\)
• D) \(P ( A ) = - \frac { 1 } { 4 } , P ( B ) = \frac { 1 } { 2 } , P ( C ) = \frac { 3 } { 4 }\)

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Definitions:

Economies of Scale

Refers to the cost advantage experienced by an entity due to expansion in production, leading to lower per-unit costs.

Diseconomies of Scale

The phenomenon where production costs per unit increase as the scale of operation or output increases.

Output

In economics, the amount of goods or services produced by a business, industry, or economy.