Probability distributions, expectation and variance

  • Spinners
    problem
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    Spinners

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

  • What's your mean?
    problem
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    What's Your Mean?

    Age
    16 to 18
    Challenge level
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    Can you work out the means of these distributions using numerical methods?
  • Aim high
    problem
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    Aim High

    Age
    16 to 18
    Challenge level
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    How do you choose your planting levels to minimise the total loss at harvest time?
  • Random inequalities
    problem
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    Random Inequalities

    Age
    16 to 18
    Challenge level
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    Can you build a distribution with the maximum theoretical spread?
  • Time to evolve 2
    problem
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    Time to Evolve 2

    Age
    16 to 18
    Challenge level
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    How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

  • 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?
  • 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.