Probability

  • Teacher: To get the marginal of X from the joint pdf of X and Y, you should integrate.....
    Student: Can you go over why?
    Teacher: Correct!
     
    Larry Lesser and Dennis Pearl
  • Lyrics © Mary McLellan
    may sing to the tune of "Jingle Bell Rock"

    Central Limit Theorem is about the shape
    Of the sampling distribution and the population
    Central Limit Theorem is about the shape
    Of the sampling distribution and the population

    If n is large enough, it doesn’t matter
    The shape of the population,
    It (sampling distribution) will still be normal

    Central Limit Theorem is about the shape
    Of the sampling distribution
    And the parent, and the parent,
    Parent population…

  • Lyrics © Mary McLellan
    may sing to the tune of "All I Wanna Do" by Sheryl Crow

    Probability of at least one
    Listing all the combinations is not fun

    Probability of at least one
    Listing all the combinations is not fun

    Probability of at least one
    Easier with…
    One minus the probability of none

    Repeat

  • Lyrics © Mary McLellan
    may sing to the tune of "Bare Necessities"

    If you do many trials
    Many, many trials
    The cumulative probability
    It will settle down to the true probability
    The law of large numbers you see

    Repeat

  • Lyrics © Mary McLellan
    may sing to the tune of "Oh My Darlin', Clementine"

    Independent, independent, independent
    When the fact that you are one thing
    Does not change the rate

    Independent, independent, independent
    When the fact that you are one thing
    Does not change the rate

  •  

    Like many of us, Dorian struggles every morning to get out of bed and go to work. But not for the reason you think. Dorian is over 100 years old working at the Magnolia Life Assurance Company. His bosses ask him to find data and information on the life expectancy of everyone in his city. The probability of dying is generally low but Dorian notices an odd spike in deaths recently. Why is that? This story discusses the growth rate of populations as birth and death rates both shrink.

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