Let's say I want to make a football simulator based on real-life data.
Say I have a player who averages 5.3 yards per carry with a SD of 1.7 yards.
I'd like to generate a random variable that simulates the next few plays. eg: 5.7, 4.9, 5.3, etc.
What stats terms to I need to look up to pursue this idea? Density function? The normal curve estimates what boundaries the data generally fall within, but how do I translate that into simulation of subsequent data points?
Thanks for any guidance!