Q51Comprehension3 Marks24 Mar 2024PassageBased on the above data, answer the given subquestions. The joint density of two continuous random variables XXX and YYY is given by fXY(x,y)=x+ykf_{XY}(x,y)=\frac{x+y}{k}fXY(x,y)=kx+y for 0<x<10<x<10<x<1, 0<y<10<y<10<y<1, and 000 otherwise.What is the value of P(X<12,Y<12)P(X<\frac12, Y<\frac12)P(X<21,Y<21)?A116\frac{1}{16}161B18\frac{1}{8}81C13\frac{1}{3}31D14\frac{1}{4}41