2. The weekly demand X for kerosene at a certain supply station has a density function given by f(x) = { x for 0 ? x ? 1 1/2 for 1 < x ? 2 0 elsewhere (a) Find P(1/2 ? X ? 3/2) (b) Find F(x) = P(X ? x)
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Step 1: Analyze the given density function The density function \( f(x) \) is given by: \[ f(x) = \begin{cases} x & \text{for } 0 \leq x \leq 1 \\ \frac{1}{2} & \text{for } 1 < x \leq 2 \\ 0 & \text{elsewhere} \end{cases} \] Show more…
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