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.