Probability value using normal distribution.
The verbal SAT scores of incoming home-state first years (X) and out of state first years (Y) are approximately normally distributed. In the last academic year mean verbal score for home-state first years was 590 (with a standard deviation of 80) and the mean score for out-of-state first years was 620 (with a standard deviation of 60). 1. If two home-states first years are selected at random, what is the likelihood that their SAT scores will differ by more than 50 points?