The power P in watts which is dissipated in an electric circuit with resistance R is known to be given by P = I² R, where I is current in amperes and R is a fixed constant at 50 ohms. However, I is a random variable with μ₁ = 15 amperes and σ²₁ = 0.03 amperes ². Give numerical approximations to the mean and variance of the power P.