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    "url": "https://numbas.mathcentre.ac.uk/api/questions/11941/?format=api",
    "name": "Bivariate continuous distribution - marginals and conditional probability, ",
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    "author": {
        "url": "https://numbas.mathcentre.ac.uk/api/users/697/?format=api",
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        "full_name": "Newcastle University Mathematics and Statistics",
        "pk": 697,
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    "edit": "https://numbas.mathcentre.ac.uk/question/11941/bivariate-continuous-distribution-marginals-and-co/?format=api",
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    "source": "https://numbas.mathcentre.ac.uk/question/11941/bivariate-continuous-distribution-marginals-and-co.exam?format=api",
    "metadata": {
        "notes": "<p><strong>6/02/2013:</strong></p>\n        <p>Finished first draft.</p>",
        "licence": "Creative Commons Attribution 4.0 International",
        "description": "<p>$f(x,y)$ is the PDF of a bivariate distribution $(X,Y)$ on a given rectangular region in $\\mathbb{R}^2$. &nbsp;Write down the limits of the integrations needed to find $P(X \\ge a)$, the marginal distributions $f_X(x),\\;f_Y(y)$ and the conditional probability $P(Y \\le b|X \\ge c)$</p>"
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