Find the Indicated Probability $$\mathrm { f } ( \mathrm { x } ) = \mathrm { e } ^ { - \mathrm { x } ; } ; [ 0 , \infty ) , \mathrm { P } ( \mathrm { x } \geq 7 )$$

question 266

Multiple Choice

Find the indicated probability.
- $$\mathrm { f } ( \mathrm { x } ) = \mathrm { e } ^ { - \mathrm { x } ; } ; [ 0 , \infty ) , \mathrm { P } ( \mathrm { x } \geq 7 )$$

• A) \(0.9991\)
• B) 0
• C) \(0.0009\)
• D) The function \(\mathrm { f } ( \mathrm { x } )\) is not a probability density function.

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Definitions:

Absolute Value

A number's distance from zero on a number line, without considering its direction; essentially, it is the non-negative value of a number.

Midpoint Formula

A method used in economics to calculate the elasticity of a variable, such as demand, by averaging the initial and final values.

Price-elasticity-of-demand Coefficient

A measure that calculates the responsiveness of the quantity demanded of a good to a change in its price.

Price Elasticity of Demand

A measure of how much the quantity demanded of a good responds to a change in the price of that good.