An electrical transmission tower is subjected to loads X and Y. The mean and standard deviation of X are 100 and 20. The mean and standard deviation of Y are 200 and 50. The correlation coefficient between X and Y is 0.6. The bending moment (M) and shear force (V) at a given location in the structure are:
M =10X + 20Y
V = -X + Y
Determine the means, standard deviations, and correlation coefficient of M and V