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"name": "Expectation and variance of combinations of estimators",
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"notes": "<p><strong>13/07/2012:</strong></p>\n <p>Added tags.</p>\n <p>Improved and made consistent the display in various content areas.</p>\n <p>Set new tolerance variable tol=0 for 2 dps numeric input questions.</p>\n <p>Added formula for $\\operatorname{Var}(aR+bS)$.</p>\n <p>Checked calculation.</p>\n <p>Added description.</p>\n <p><strong>1/08/2012:</strong></p>\n <p>Added tags.</p>\n <p>Question appears to be working correctly.</p>\n <p><strong>21/12/2012:</strong></p>\n <p>Checked calculation, OK. Added tested1 tag.</p>\n <p>Checked rounding, OK. Added tag cr1.</p>",
"licence": "Creative Commons Attribution 4.0 International",
"description": "<p>Given three linear combinations of four i.i.d. variables, find the expectation and variance of these estimators of the mean $\\mu$. Which are unbiased and efficient?</p>"
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