Demonstration of the Central Limit Theorem: let x = x 1 + ··· + x 20 , the sum of 20 independent Uniform(0,1) random variables. In R, create 1000 simulations of x and plot their histogram. On the...

Demonstration of the Central Limit Theorem: let x = x₁
+ ··· + x₂₀, the sum of 20 independent Uniform(0,1) random variables. In R, create 1000 simulations of x and plot their histogram. On the histogram, overlay a graph of the normal density function. Comment on any differences between the histogram and the curve.