Is annisinn0 a simple random walk not necessarily symmetric

Question

Let {X_n}_n∈N0 be a symmetric simple random walk. For n ∈ N the average of the random walk on the interval [0,n] is defined by

Is {A_n}_n∈N0 a simple random walk (not necessarily symmetric)? Explain carefully using the definition.

Compute the covariance Cov(X_k,X_l) = E[(X_k - E[X_k])(X_l - E[X_l])], for k ≤ l ∈ N

Compute the variance of A_n, for n ∈ N.