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Year 12 Specialist (Unit 3 & 4) Applications of integral calculus

The exponential probability distribution

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Question 1
196699
A continuous random variable \(X\) has the exponential probability density function \(f(x)=\lambda e^{-\lambda x}\) for \(x\ge 0\), with \(\lambda=0.5\). Find the mean of \(X\).
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