[Problem ID Number: 117] Consider two unfair dice with coorsponding random variables X1 and X2 - their probability distributions are provided below: PX1 (a ) PX2 (20 ) 2/15 3/17 2 2/15 CO NOH 3/17 3 2/15 4/17 4 4/15 4 2/17 5 1/15 5 3/17 4/15 6 2/17 Let's define the following events E1 : X1 = 4 E2: X1 + X2 = 7 Enter the Problem ID Number: A. (2Pts) By hand, draw the cumulative distribution function for X1 B. (2Pts) Write all the combinations of (X1, X2) that satisfy El C. (2Pts) What is P(E1 )? D. (2Pts) Write all the combinations of (X1, X2) that satisfy E2 E. (4Pts) What is P(E2 )? F. (2Pts) What is P(E1 n E2)? G. (2Pts) What is P(E1 | E2)