STAB22H3 Lecture Notes - Lecture 1: Marginal Distribution

• School: UTSC
• Department: Statistics
• Course: STAB22H3
• Professor: M

Document Summary

Question 1: two random variables, x and y , have the following joint pmf: x. Justify your answer. (b) find e(x), e(y ) and e(xy ). (c) find the correlation between x and y . (d) find p (x y ). (e) find p (x 1|y = 1). Question 2: two random variables, x and y , have the joint pdf f (x, y) = ( c(x + y) 0 x 1, 0 y 2. Question 3: let x and y be two random variables with the joint pmf p(x, y) = e xpy(1 p)x y y! (x y)! , y = 0, 1, . x; x = 0, 1, 2, . (a) find the marginal pmf of x. Question 4: two friends decided to meet at a library between 12:00 pm and 1:00 pm. Each agrees to wait not more than 10 minutes for the other. Hint: let x and y be times of arrivals.