University of California, Los Angeles Department of Statistics Statistics 100B Instructor: Nicolas Christou The Central Limit Theorem Suppose that a sample of size n is…
University of California, Los Angeles Department of Statistics Instructor: Nicolas Christou Quiz 6 A probability problem. Let’s Make a Deal! A player is asked to…
University of California, Los Angeles Department of Statistics Statistics 100B Instructor: Nicolas Christou Distributions related to the normal distribution Three important distributions: • Chi-square (χ2)…
Statistics 100B Definition: MX (t) = EetX Therefore, If X is discrete MX (t) = etX p(x) x If X is continuous MX(t) =…
University of California, Los Angeles Department of Statistics Instructor: Nicolas Christou The F distribution Let U ∼ χ2n1 and V ∼ χ2n2. If U and…
University of California, Los Angeles Department of Statistics Statistics 100B Instructor: Nicolas Christou Practice 1 – solutions EXERCISE 1 Find the distribution of the random…
University of California, Los Angeles Department of Statistics Instructor: Nicolas Christou Quiz 7 Let Y1, . . . , Yn be random variables with E(Yi)…