Year 12 Specialist (Unit 3 & 4)
Applications of integration
The exponential probability distribution
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Questions
Question 1
163329
Let \(X\) be an exponential random variable with probability density function
\[f(x)=\left\{\begin{array}{cc}
0.4 e^{-0.4 x} & x \geq 0 \\
0 & x<0
\end{array}\right.\]
i) Find \(\operatorname{Pr}(X>2)\)
ii) Find \(\operatorname{Pr}(X<1)\)
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