If X and Y are independent normal variables having a common mean [FONT=Times New Roman, serif]μ such that

P(2X + 4Y <= 10) + P(3X + Y <=9) = 1 and

P(2X - 4Y <= 6) + P(Y - 3X >= 1) = 1

Determine the value of [/FONT][FONT=Times New Roman, serif]μ and the ratio of the variance of X and Y.

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