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

question 3

Multiple Choice

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) \(e ^ { 4 }\)

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