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Xis a normal random variable with mean= 10 and standard deviation= 2.Zis a random variable following the standard normal distribution. It is known thatand. Calculate

Xis a normal random variable with mean= 10 and standard deviation= 2.Zis a random variable following the standard normal distribution. It is known thatand. Calculate the following items :

(a) P(X<8)

(b) P(X>14)

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