Assume that Adam is a math student who is currently taking 4 courses, two of which is from physical sciences and math, and the remaining two are from social sciences. Let X denote the total number of A's he earn from sciences/math and Y denotes the total number of A's her earn from the social science courses at the end of the semester. The joint pmf of X and Y denoted as p(x, y) is given as follows:
p(0, 0) = 0.1
p(0, 1) = 0.15
p(0.2) = 0.05
p(1, 0) = 0.15
p(1, 1) = 0.05
p(1, 2) = 0.25
p(2, 0) = 0.2
p(2.1) = 0.05
p(2, 2) = 0
Compute the prob that X = 2?
What is the prob that X = 1 and Y =2?