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{
    "url": "https://numbas.mathcentre.ac.uk/api/questions/11935/?format=api",
    "name": "Calculate probability, CDF, expected value and variance of binomial distribution, ",
    "published": true,
    "project": "https://numbas.mathcentre.ac.uk/api/projects/601/?format=api",
    "author": {
        "url": "https://numbas.mathcentre.ac.uk/api/users/697/?format=api",
        "profile": "https://numbas.mathcentre.ac.uk/accounts/profile/697/?format=api",
        "full_name": "Newcastle University Mathematics and Statistics",
        "pk": 697,
        "avatar": {
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    },
    "edit": "https://numbas.mathcentre.ac.uk/question/11935/calculate-probability-cdf-expected-value-and-variance-of-binomial-distribution/?format=api",
    "preview": "https://numbas.mathcentre.ac.uk/question/11935/calculate-probability-cdf-expected-value-and-variance-of-binomial-distribution/preview/?format=api",
    "download": "https://numbas.mathcentre.ac.uk/question/11935/calculate-probability-cdf-expected-value-and-variance-of-binomial-distribution.zip?format=api",
    "source": "https://numbas.mathcentre.ac.uk/question/11935/calculate-probability-cdf-expected-value-and-variance-of-binomial-distribution.exam?format=api",
    "metadata": {
        "notes": "<p><strong>7/07/2012:</strong></p>\n        <p>Added tags.</p>\n        <p>Cannot access stats extension at present, so question does not run. Issue posted.</p>\n        <p>Set new tolerance variable tol=0.001 for first two answers.</p>\n        <p>Calculation to be tested under Test Run.</p>\n        <p><strong>22/07/2012:</strong></p>\n        <p>Now runs after stats extension box ticked.</p>\n        <p>Added description.</p>\n        <p>Checked calculation.</p>\n        <p><strong>31/07/2012:</strong></p>\n        <p>Added tags.</p>\n        <p>Question appears to be working correctly.</p>\n        <p>&nbsp;<strong>20/12/2012:</strong></p>\n        <p>Rounding seems to be OK. Added cr1 tag. &nbsp;Replaced sum of pdf values by built in binomialcdf function from jstats.</p>\n        <p>Checked calculation, OK. Added tested1 tag.</p>",
        "licence": "Creative Commons Attribution 4.0 International",
        "description": "<p>$X \\sim \\operatorname{Binomial}(n,p)$. Find $P(X=a)$, $P(X \\leq b)$, $E[X],\\;\\operatorname{Var}(X)$.</p>"
    },
    "status": null,
    "resources": []
}