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Let X be a normal random variance with media 1 and variance 4. Consider a new...

Let X be a normal random variance with media 1 and variance 4. Consider a new variance A random variable T defined below:

T = -1 if X < -2

T = 0 if - 2 ≤ X ≤ 0

T = 1 if x>0

Find the moment generating function of T and, from it, calculate E (T) and Var (T).
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