6 Preview File Edit View Go Tools Window Help 9 '2? L:J 100% @111 Thu 3:26 PM Q 6 EE ' 1 l O O O 3 Scannable Document on Oct 22, 2020 at 11_43_00 AM.pdf (page 5 of 5) V F 2 v T I v 7 7 l 3 2 @ Q Q Search L g p Clear More\" 9 Question 5: (15 Points, 3 points for each question) Each of the following statements can be TRUE or FALSE. Mark in the \"( )\" with a \"T\" is you think it is TRUE, and with an \"F\" if you think it is FALSE. (M need to show calculation procedures or explanations). i 1) ( ) If A and B are mutually exclusive, they are also mutually independent. 2) ( ) Both of the following statements are true . IfE(X) > E(Y), then P(X> Y) > 0. . IfP(X> Y) = 1, then E(X) > E(Y). '1 3) ( ) Extremely high and low scores affect the value of the median. 4) ( ) Let X and Y be independently and identically distributed random variables and 1 let U= max(X, Y) and V: min(X, Y). Then, E(U) = E(X) + E(Y) E (V). 5) ( ) Let (X,Y) be a bivariate random vector with joint pdf or pmfx,y). Then X and Y are independent random variables if and only if there exist function g(x) and h(y) such that x,y) = g(x) ho?)