A random variable XXX has mean μ\muμ and variance σ2\sigma^2σ2. If Y=3X+2Y = 3X + 2Y=3X+2, what are E[Y]E[Y]E[Y] and Var(Y)Var(Y)Var(Y)?
E[Y]=3μ+2,Var(Y)=3σ2E[Y] = 3\mu + 2, Var(Y) = 3\sigma^2E[Y]=3μ+2,Var(Y)=3σ2
E[Y]=3μ+2,Var(Y)=9σ2E[Y] = 3\mu + 2, Var(Y) = 9\sigma^2E[Y]=3μ+2,Var(Y)=9σ2
E[Y]=3μ,Var(Y)=9σ2+2E[Y] = 3\mu, Var(Y) = 9\sigma^2 + 2E[Y]=3μ,Var(Y)=9σ2+2
E[Y]=3μ+2,Var(Y)=9σ2+4E[Y] = 3\mu + 2, Var(Y) = 9\sigma^2 + 4E[Y]=3μ+2,Var(Y)=9σ2+4