Assume that the duration in minutes of a telephone conversion follows the expo-nential distribution $${\text{f}}\left( {\text{x}} \right) = \frac{1}{5}{{\text{e}}^{ - \frac{{\text{x}}}{5}}},\,{\text{x}} \geqslant {\text{0}}{\text{.}}$$ The probability that the conversion will exceed five minutes is
A. $$\frac{1}{{\text{e}}}$$
B. $$1 - \frac{1}{{\text{e}}}$$
C. $$\frac{1}{{{{\text{e}}^2}}}$$
D. $$1 - \frac{1}{{{{\text{e}}^2}}}$$
Answer: Option A
This Question Belongs to Engineering Maths >> Probability And Statistics
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