The joint probability density function of two dimensional continuous random variables (x, y) Let f (x, y) = {K, (0

The joint probability density function of two dimensional continuous random variables (x, y) Let f (x, y) = {K, (0

1)
In the first quadrant, make the parts of the following three curves in the first quadrant
y=x
y=x^2
x=1
Then, the region of F (x, y) = k is the interior of the triangle surrounded by the three curves,
Mark this area as D
The rest of F (x, y) is zero
By the normalization condition, (s denotes the integral number, {D} denotes the region of definite integral)
SS{D}（k*dxdy）=1
The solution is k = 6
2)
P（X>0.5）=S[1,0.5](dx)S[x,x^2]kdy=0.5
P(Y