Probability distributions, expectation and variance

  • Stats statements
    problem

    Stats statements

    Age
    16 to 18
    Challenge level
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    Are these statistical statements sometimes, always or never true? Or it is impossible to say?

  • Random inequalities
    problem

    Random inequalities

    Age
    16 to 18
    Challenge level
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    Can you build a distribution with the maximum theoretical spread?
  • Data matching
    problem

    Data matching

    Age
    14 to 18
    Challenge level
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    Use your skill and judgement to match the sets of random data.

  • Spinners
    problem

    Spinners

    Age
    16 to 18
    Challenge level
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    How do scores on dice and factors of polynomials relate to each other?
  • Exponential intersection
    problem

    Exponential intersection

    Age
    16 to 18
    Challenge level
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    Can the pdfs and cdfs of an exponential distribution intersect?