1. The problem statement, all variables and given/known data The number of hours of sunshine in one week in a specific resort is assumed to follow a normal distribution with expectation 43 and standard deviation 17. Family A will spend the first three weeks of the summer at the resort. Family B will spend the LAST two weeks of the summer at the resort. Assuming everything is independent, what is the probability that family A will get atleast twice as much sunshine as family B? 2. Relevant equations A = # of sunshine hours for family A B = # of sunshine hours for family B 3. The attempt at a solution E(A) = 3*E(X) = 129 σ(A) = sqrt(3)*σ(X) = 29.4 E(B) = 86 σ(B) = sqrt(2)*σ(X) = 24 So A ~ N(129, 29.4), B ~ N(86, 24) If we let Z = A/B and try to find P(Z > 2), we do not have a linear combination of normally distributed random variables so I guess that's not the right way to go, assuming we want to do the normal table reading thing. So I don't know where to go from here. Help!