Ill Education | MIT - Massachusetts x | | Learner Dashboard | MITx Microl. x X 3. | Exam 1 | 6.431x Courseware | X + X C A courses.edx.org/courses/course-v1:MITx+6.431x+1T2022/courseware/Exam_1/sequential_Exam_1/ Aplicaciones @ YouTube 9 Maps G Gmail Traducir Nueva pestana You are taking "Exam 1" as a timed exam. The timer on the right shows the ring in the exam. To receive credit for problems, you must select "Submit" for each problem before you select "End My Exam". Show Less 6.D points possible (graded, results hidden) Let X, Y, Z be independent discrete random variables with E[X] = 2 E[Y] = 0 E[Z] = 0, E[X'] = 20 E[Y'] = E[Z'] = 16, and Var (X) = Var (Y) = Var (Z) = 16. Let A = X(Y + Z) and B = XY. 1. Find E [B]. EB 2. Find Var (B) Var (B)= 3. Find Var (B[ X = 2). Var (B[X = 2)= 4. Find E [AB] E[AB = STANDARD NOTATION Submit You have used 0 of 2 attempts True or False 3 points possible (graded, results hidden) With A, B, X defined as before, determine whether the following statements are true or false: 1. A and B are independent. O True O False 2. A and B are conditionally independent, given X = 0. True O False 3. A and B are conditionally independent, given X = 1. O True O False ESP 4:40 p. m. LAA 7/03/2022