# Changing normal distribution given new data

Assume as in the picture above, we have two points $A$ and $B$. Each has a location with a normal distribution of error, i.e. $A$ is believed to be at $x=0$ with an error of $σ=1$, and $B$ at $x=35$ with an error of $σ=1$.

Point $A$ now knows that it is only $33$ meters (exactly) away from point $B$.

1. How would this affect the normal distribution of error of point $A$?
2. What would also happen to the distribution if the $33$ meters has a margin of error?
• What is your attempt? Commented Feb 22, 2018 at 11:12
• Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. Commented Feb 22, 2018 at 11:13
• I am a bit naive in statistics i tried to come up with new distribution with a mean = previous mean(0 ) + the difference(35-33). I failed to understand the way I should combine the two distributions in order to come up with the new one. I believe that the distribution should be skewed and not normal Commented Feb 22, 2018 at 11:30