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(Parts (a) and (b) are separate) Part (a) [13 pts] X is a Gaussian random variable with a mean of 3. If the probability P[X>7]=Q(1),

(Parts (a) and (b) are separate)

Part (a) [13 pts] X is a Gaussian random variable with a mean of 3. If the probability P[X>7]=Q(1), find the probability P[X2>5X+6].

Part (b) [12 pts] Y is a Binomial (3,0.5) random variable. Find the probability mass function of Z=(2Y2-Y).

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