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X is a Gaussian random variable with variance 9........... [2] X is a Gaussian random variable with variance 9. It is known that the mean

X is a Gaussian random variable with variance 9...........

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[2] X is a Gaussian random variable with variance 9. It is known that the mean of X is positive. It is also known that the probability P [X2 > a] (using the standard Q-funotion notation) is given by P[X2 > a] = Q6) + Q(3). (a) [13 pts] Find the values of a and the mean of X (b) [12 pts] Find the probability P[X4-6X2 > 27]

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