I've come across something I'm not too sure about. Let's say we flip a coin, heads mean we lose 1 unit, tails means we win a 1 unit. This distribution of outcomes in this would be considered normal, with the top of the bell curve at expectancy of 0 as number of trials increases.
What if we lose 1 unit for heads, but gain 5 for tails, would that still be classed as normal distribution? How would this effect variance?
Surely the large variance number would only be representive of positive results, and not the small negative swings?