Probability distributions, expectation and variance

  • Binomial conditions
    problem

    Binomial Conditions

    Age
    16 to 18
    Challenge level
    2 out of 3

    When is an experiment described by the binomial distribution? Why do we need both the condition about independence and the one about constant probability?

  • A well-stirred sample
    problem

    A Well-Stirred Sample

    Age
    16 to 18
    Challenge level
    2 out of 3

    Typical survey sample sizes are about 1000 people. Why is this?

  • Exponential intersection
    problem

    Exponential Intersection

    Age
    16 to 18
    Challenge level
    3 out of 3

    Can the pdfs and cdfs of an exponential distribution intersect?