Solve using r or R studio

1. Let X and Y be discrete random variables with mass functions fx( 0.2 0.1 0.3 0.1 0.3 Sy()0.2 0.2 0.1 0.4 0.1 0 (a) Find P(X 33) (b) Find P[Y>2) (c) Find EX and EY (d) On a common graph, draw the survival function for X and Y (e) Find the area between the survival functions and check that it is equal to EX-y