1. The problem statement, all variables and given/known data Math and verbal SAT scores are each N(500, 10000) 1)If the math and verbal SAT scores were independently distributed, which is not the case, then what would be the distribution of the overall SAT scores? Find its mean and variance. 2. Relevant equations 3. The attempt at a solution So originally they are not independent variables, yet the share the same mean and variance. So, if we now assume they are independent, the mean and variance for the two would still be the same, therefore the answer is still N(500,10000). Is this correct?