Question: Suppose we have iid random variables \(X_{1}, \ldots, X_{n}\) with \(E\left[X_{i}\right]=\mu\) for all \(i=1, \ldots, n\) and we also have constants \(c_{1}, \ldots, c_{n} .\) Derive the condition that must hold in order for \(E\left[\sum_{i=1}^{n} c_{i} X_{i}\right]=\mu\). Suppose we further restrict \(c_{i} \geq 0\) for all \(i=1, \ldots, n\). State in words what the condition you derived now means.

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