Mark each statement below “true” or “false”. Justify your answers.

(a) Cov{X₁,X₂} =Cov{X₂,X₁}.

(b) If two r.v.’s are independent, then they are uncorrelated.

(c) If two r.v.’s are correlated, then they are dependent.

(d) If two r.v.’s are uncorrelated, then they are independent.

(e) A correlation coefficient may equal 2.56.

(f) A covariance may equal 2.56.

(g) A correlation coefficient may equal −0.56.

(h) A covariance may equal −0.56.

(i) A correlation coefficient is always less than 1.