Help with this one

Suppose that the weight of checked luggage for an airline is a random variable X that is normally.r distributed with an average of 48 pounds and a standard deviation of 10 pounds. Suppose that the weight of carry on luggage is a random variable Ythat is normally distributed with a mean of 9 pounds and a standard deviation of 3 pounds. The correlation between the weight of checked and carry on luggage is 4135. The airline permits service of 12 passmgers and limits the total weight of luggage1 checked and carry,r on, to 5.11\"} pounds. Use the following steps to determine the appmxjmate probability that the total weight limit is exceeded? a} Express the new variable W, the total weight of luggage, as a sum of X, and l'. b} Calculate the value of the mean and the variance (and stande deviation) of the new random variable W. e} What is the approximate probability that the total weight limit is exceeded