Suppose the length of time,x,that it takes a chimpanzee to solve a simple puzzle is measured by a random variable X that is exponentially distributed with a probability density function $f ( x ) = \left\{ \begin{array} { l l }
\frac { 2 } { 3 } e ^ { - 2 \times B } & \text { if } x \geq 0 \
0 & \text { if } x

Question

Suppose the length of time,x,that it takes a chimpanzee to solve a simple puzzle is measured by a random variable X that is exponentially distributed with a probability density function $f ( x ) = \left\{ \begin{array} { l l } 
\frac { 2 } { 3 } e ^ { - 2 \times B } & \text { if } x \geq 0 \
0 & \text { if } x < 0
\end{array} \right.$ where x is in minutes.Find the probability that a randomly chosen chimpanzee will take more than 6 minutes to solve the puzzle.
A) $e ^ { 4 } - 1$
B) $e ^ { - 4 } + 1$
C) $e ^ { - 4 }$
D) $e ^ { 4 }$

Quizplus · Accepted Answer

The Answer is C

Suppose the Length of Time,x,that It Takes a Chimpanzee to Solve