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{
    "url": "https://numbas.mathcentre.ac.uk/api/questions/11937/?format=api",
    "name": "Calculate probability, expected value and variance of a Poisson 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/11937/calculate-probability-expected-value-and-variance-/?format=api",
    "preview": "https://numbas.mathcentre.ac.uk/question/11937/calculate-probability-expected-value-and-variance-/preview/?format=api",
    "download": "https://numbas.mathcentre.ac.uk/question/11937/calculate-probability-expected-value-and-variance-.zip?format=api",
    "source": "https://numbas.mathcentre.ac.uk/question/11937/calculate-probability-expected-value-and-variance-.exam?format=api",
    "metadata": {
        "notes": "<p><strong>7/07/2012:</strong></p>\n        <p>Added tags.</p>\n        <p>Cannot access the poisson functions in the &nbsp;stats extension and will not run. Issue posted.</p>\n        <p>Set new tolerance variable tol=0.001 for first two questions.</p>\n        <p>Cannot check calculations at present under Test Run.</p>\n        <p><strong>22/07/2012:</strong></p>\n        <p>Added description.</p>\n        <p>Corrected typo in formula for Poisson Distribution.</p>\n        <p>Can now test as stats extension ticked.</p>\n        <p>Checked calculation.</p>\n        <p><strong>31/07/2012:</strong></p>\n        <p>Question appears to be working correctly.</p>\n        <p><strong>20/12/2012:</strong></p>\n        <p>Checked calculations agains standard tables, OK. Rounding, OK. Added cr1 tag. Do not use the jstats poissoncdf function! The poissonpdf is OK.</p>\n        <p>Added tested1 tag.</p>",
        "licence": "Creative Commons Attribution 4.0 International",
        "description": "<p>$Y \\sim \\operatorname{Poisson}(p)$. Find $P(Y=a)$, $P(Y \\gt b)$, $E[Y],\\;\\operatorname{Var}(Y)$.</p>"
    },
    "status": null,
    "resources": []
}