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"name": "Find expectation, variance and probability sample mean in range for normal distribution, , ",
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"full_name": "Newcastle University Mathematics and Statistics",
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"metadata": {
"notes": "<p><strong>13/07/2012:</strong></p>\n <p>Added tags.</p>\n <p>Cannot check calculations as yet as cannot access stats extension.</p>\n <p>Set new tolerance variable tol=0.0001 for numeric entries to 4 dps.</p>\n <p>Set new tolerance variable tol=0 for numeric entries to 2 dps.</p>\n <p><strong>21/12/2012:</strong></p>\n <p>Checked calculations against standard tables, OK. Added tested1 tag.</p>\n <p>Corrected a typos and improved display in Advice.</p>\n <p>Checked rounding, OK. Added tag cr1.</p>\n <p>This has scenarios - could be extended. Added sc tag.</p>\n <p> </p>",
"licence": "Creative Commons Attribution 4.0 International",
"description": "<p>Normal distribution $X \\sim N(\\mu,\\sigma^2)$ given. Find $P(a \\lt X \\lt b)$. Find expectation, variance, $P(c \\lt \\overline{X} \\lt d)$ for sample mean $\\overline{X}$.</p>"
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