For the Probability Density Function $f ( t ) = \frac { 1 } { 2 } e ^ { - \frac { t } { 2 } }$

question 77

Multiple Choice

For the probability density function $f ( t ) = \frac { 1 } { 2 } e ^ { - \frac { t } { 2 } }$ on the interval $[ 0 , \infty )$ , find the probability that $t \geq 3$ . Round your answer to the nearest thousandth.

• A)0.112
• B)0.388
• C)0.183
• D)0.333
• E)0.223

---

Definitions:

Central Bank

A nation's principal monetary authority, which regulates the money supply and interest rates in pursuit of economic objectives.

Money Supply

The cumulative total of monetary resources within an economy at a specific period.

Unemployment Rate

The rate of joblessness among individuals in the labor force who are actively seeking work.

OPEC

The Organization of the Petroleum Exporting Countries, a group of oil-producing nations that aims to manage the supply of oil to stabilize oil market prices and ensure efficient, economic and regular supply to consumers.