Let Z~N(0,1) be a standard normal random variable. For this random variable, we know that E[Z]=0, E[Z²]=1, E[Z³]=0, E[Z⁴]=3.

Let {X₁ , X2, ... X_n} be independeny and identically distributed N(0,1) random variables. Using Chebyshev's inequality determine a bound for P(1/n Summ(i=1, n) X_i²>2)

A. 3/n

B. 6/n^2

C. 1/4n

D. 2/n^2