(See Solution) X is a continuous random variable with probability density function f(x)=a(1+x) for 0 ≤q x ≤q 4, and f(x)=0 otherwise. Find the value
Question: \(\mathrm{X}\) is a continuous random variable with probability density function \(\mathrm{f}(\mathrm{x})=\mathrm{a}(1+\mathrm{x})\) for \(0 \leq \mathrm{x} \leq 4\), and \(\mathrm{f}(\mathrm{x})=0\) otherwise.
- Find the value of \(a\).
- Find the expected value of \(\mathrm{X}\).
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