## How to proof that Φ(1)=1−Φ(−1)\Phi(1)=1-\Phi(-1) for Standard normal distribution?

I have been studying normal distribution and frequently I see that Φ(1)=1−Φ(−1) where Φ(x)=∫x−∞ϕ(u)du is the cdf of a standard normal variable. How one can prove equality above? and is this true in general? i.e Φ(x)=1−Φ(−x)? Note: I’m pretty beginner with probability so excuse me if this turns out to be very trivial. Thanks Answer … Read more