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May 17th, 2010, 06:47 AM   #1
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Normal distribution with 2 random variables

hi all,

will anyone help me to work this sum out?

If X and Y are independent normal variables having a common mean ? 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 ? and the ratio of the variance of X and Y.
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