Question: Suppose that Y is a normally distributed random variable with = 10 and = 2,and X is an independent random variable, also normally distributed with

Suppose that Y is a normally distributed random variable with = 10 and = 2,and X is an independent random variable, also normally distributed with = 5and = 5. Find:(a) P(Y > 12 and X > 4)(b) P(Y > 12 or X > 4)(c) P(Y > 10 and X < 5)

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