A random variable Xis uniformly distributed between 0and 1.two independent are made ,X1 and X2,take (X1,X2) as a poit on the lines X1+X2=Y in a cartesian plane ,Y=X1+X2 is triangular
a)for o<Y<1,show that
P(X1+X2)=1/2(Y^2)
b)for 1<Y<2,show
P(X1+X2《Y)=1-1/2(2-Y)^2
please.... help me solve this problem
the Q is from oxfor fajar book |