Errata: "We can imagine having random variables Y_1, Y_2, ... that are, in the sense of probability, independent of Y and that have the same cumulative distribution as Y."
should read
"We can imagine having random variables Y_1, Y_2, ... that are, in the sense of probability, independent and that have the same cumulative distribution as Y."
"To define the expected value, we can use some calculus and the cumulative distribution of F_Y, but for now let's just use our intuition about averages and move along."
should read
"To define the expected value, we can use some calculus and the cumulative distribution F_Y, but for now let's just use our intuition about averages and move along."
Comments
Errata: "We can imagine having random variables Y_1, Y_2, ... that are, in the sense of probability, independent of Y and that have the same cumulative distribution as Y."
should read
"We can imagine having random variables Y_1, Y_2, ... that are, in the sense of probability, independent and that have the same cumulative distribution as Y."
"To define the expected value, we can use some calculus and the cumulative distribution of F_Y, but for now let's just use our intuition about averages and move along."
should read
"To define the expected value, we can use some calculus and the cumulative distribution F_Y, but for now let's just use our intuition about averages and move along."