You are going to try and calculate P(I < k), for any value k.
So you need to find the combinations of x,y which gives I<k.
Solve the inequality
Then use your results to set the limit in the integral:
hey guys, i am really confused on something.here is the thing:
i have;
i=x+(x^2-y)^(1/2)
and here x is uniform distribution on (a,b)
y is uniform distribution on (c,d)
x and y independent
and there is no information about a,b,c,d.but if you need you can assume anything like a>c.
i need to find the probability density function of i but how??????
actually i dont know how to start!!