Mike's bowling scores are normally distributed with mean 110 and standard deviation 13, while Jack's scores are normally distributed with mean 135 and standard deviation 10. If Mike and Jack each bowl one game, find the probability that the total of their scores is above 225 (assuming their scores are independent). Enter your answer as a decimal and round to at least 3 correct decimal places.
I'm confused, how can I find the probability of their total score? I know that given the information I can find the variance but I'm confused as to that would help me with the final answer