Which of the Following Is Not True for a Random $a \leq x \leq b$

question 29

Multiple Choice

Which of the following is not true for a random variable X that is uniformly distributed over the interval $a \leq x \leq b$ ?

• A)E(X) = (a + b)/2.
• B)V(X) = \(( b - a ) ^ { 2 }\) /12.
• C) \(\sigma\) = (b - a)/6.
• D) \(f ( x ) = 1 / ( b - a )\) if a ? x ? b.

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Definitions:

Unit Product Cost

The total cost associated with producing a single unit of product, including direct materials, labor, and allocated overhead.

Year 1

Refers to the first year in a given context, such as the first year of a company's operation, the initial year of a dataset, or the first year of the Gregorian calendar.

Urban Sales

Sales activities focused on customers located within urban areas, potentially involving strategies tailored to high-density populations.

Unit Variable Expenses

Costs that vary directly with the level of production or sales volume, calculated on a per unit basis.