Likelihood Function

Can anyone help me understand this?

Consider the four observations from de Normal Distribution with variance equal to one y1 < 10, y2 > 10, 5 < y3 < 10 and y4 = 10.
The likelihood function is?

Would be:

CodeCogsEqn (1).gif

I want to know if this is correct or have another way of solving this problem.



Ambassador to the humans
Looks fine to me. I probably would have wrote out some notation just using the CDF of the standard normal though to keep it a little bit cleaner.