possible X can take times probability of taking that value if you work out the integral and not proving that this is the integral here I'm just saying if you work out this integral you'll see the result is mu so the expected value under a Gaussian is immune not to an expected either because I mean in the name is also saying it's the mean but you can actually do the math and principle to find out that mu is indeed the expected value under a Gaussian distribution the variance is defined as X minus mu squared on average what's your square deviation