STAT W21 Lecture Notes - Lecture 22: Negative Binomial Distribution, 1Gn, Standard Error
Document Summary
A random variable is its expected value plus chance variability. Random variable = expected value + chance variability. Random variable is typically about equal to its expected value, give or take an se or so. Se of a random variable is the square-root of the expected value of the squared. Standard error of an affine transformation then. If y = ax + b, where "a" and "b" are constants (i. e. if y is an affine transformation of x), Two events are independent if and only if the chance of the intersection of "a" and "b" is the product of the chance of "a" and the chance of "b" Two random variables are independent if and only if every event determined by "x" is. Expected value of the product of independent random variables independent of every event determined by "y" If the random variables "x" and "y" are independent, then e(x * y) = e(x) * e(y)
