It seems that you are looking at a U(50,52) random variable.

Since the length is 52-50=2, the height of this constant density must be .5.

That's because the area must be one.

So, f(x)=.5 on 50<x<52 and zero otherwise.

You can integrate, but its just a rectangle.

The probability that X is less than 50.75 is the area under f(x) from 50 to 50.75.

That length is .75 or 3/4 and you multiply that by the height of .5 or 1/2

to give you the probability of that event, 3/8.

But why do you say that this is a normal random variable?

I would then say the mean is 51, but I have no idea what the standard deviation is.