Probability distributions, expectation and variance

  • Spinners
    problem
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    Spinners

    Age
    16 to 18
    Challenge level
    2 out of 3
    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
    1 out of 3

    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
    1 out of 3
    Can you work out the means of these distributions using numerical methods?
  • Into the exponential distribution
    problem
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    Into the Exponential Distribution

    Age
    16 to 18
    Challenge level
    1 out of 3
    Get into the exponential distribution through an exploration of its pdf.
  • Aim high
    problem
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    Aim High

    Age
    16 to 18
    Challenge level
    2 out of 3

    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
    3 out of 3
    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
    3 out of 3

    How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

  • Data matching
    problem

    Data Matching

    Age
    14 to 18
    Challenge level
    1 out of 3

    Use your skill and judgement to match the sets of random data.

  • Binomial or not?
    problem

    Binomial or Not?

    Age
    16 to 18
    Challenge level
    1 out of 3
    Are these scenarios described by the binomial distribution?