Run a simulation where you add three normally distributed random numbers, each with mean 25 and standard deviation 5. Your single output variable should be the sum of these three numbers. Is the distribution of this output approximately normal? EJQ What results do you expect in accordance with the theory? The variance of the random variable should be 9 the mean, and the variance ofa sum of independent variables should be 9 the 9 of the individual variances. What are the mean and variance of the simulation? Set the number of iterations to 1000 and the number of simulations to 1. Round your answers to two decimal places, if necessary. [:10 Variance o