Two random variables X and Y have a constant joint density function $f(x,y)=c$ in the domain ${x<4,y>0,x>y}$ (and zero elsewhere).
a)Find c.
b) Find $P(X-Y<2)$
c)Find $P(X^2+Y^2<1)$
This is probably a stupid question, but given the domain does it make a triangle? If not, what shape does it form?
For (a) isnt it just 1/area of the domain? I am unsure of what region (b) makes in the domain and (c) is the unit circle, but what is holding me back on this one is not knowing the overall shape of the domain. Studying for a test so any help would be great.