Two random variables X and Y are independent of each other, and are known to have the Gaussian distribution N(2, 4) and N(1,3) respectively, i.e., having mean value 2 and variance 4 for X and having mean value 1 and variances 3 for Y. Define a new random variable W as W = X - 2Y + 2. Find the following

(a) Find the mean E[W] and variance Var[W] of the newly defined random variable.