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 x / 3 } & \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 $$f ( x ) = \left\{ \begin{array} { l l } 
\frac { 2 } { 3 } e ^ { - 2 x / 3 } & \text { if } x \geq 0 \
0 & \text { if } x < 0
\end{array} \right.$$ where x is in minutes. Find the probability that a randomly chosen chimpanzee will take more than 6 minutes to solve the puzzle.

Quizplus · Accepted Answer

The Answer of 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 $$f ( x ) = \left\{ \begin{array} { l l } 
\frac { 2 } { 3 } e ^ { - 2 x / 3 } & \text { if } x \geq 0 \
0 & \text { if } x < 0
\end{array} \right.$$ where x is in minutes. Find the probability that a randomly chosen chimpanzee will take more than 6 minutes to solve the puzzle.

Suppose the Length of Time, X, That It Takes a Chimpanzee