A Random Variable X Has a Cumulative Distribution Function F(x) $\frac { x } { 5 }$

question 9

Short Answer

A random variable X has a cumulative distribution function F(x) = $\frac { x } { 5 }$ - 2, $10 \leq x \leq 15$ . Find a such that $\operatorname { Pr } ( a \leq X \leq 15 ) = \frac { 2 } { 3 }$ Enter just a reduced fraction of form $\frac { a } { b }$ .

---

Definitions:

Standard Hourly Rate

A fixed rate paid or charged for one hour of labor or service.

Actual Output

The real quantity of goods or services produced by a business during a specific period.

Flexible Budget

A budget that adjusts or flexes with changes in volume or activity levels, allowing more accurate budgeting and variance analysis.

Relevant Range

The range of activity within which assumptions about variable and fixed cost behavior are valid.