Sovle this question by R, post your R code as answers, thank you!

-_- - I._"' "'_""_J Illustrate numerically the universality conjecture that the spectral density of large symmetric matrices formed from independent identically distributed random variables with zero mean and finite variance converges to the density of the Wigner Semicircle distribution. That is: [2] (3} Take ,0 = 100 and generate n = 500 p x p symmetric matrices with entries sampled from the standard Normal distribution. Hint: generate a p x ,0 matrix A with Normal entries and then symmetrise using A[1ower.tri {10]