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Let nm v denote the normal random variable with mean m and


Let N(m, v) denote the normal random variable with mean m and variance v.

(a) If X is a Standard Normal variable, what is the distribution of the random variable 4X - 1?

(b) If X ~ N(3,1) and Y ~ N(4,2) are independent, what is the distribution of the random variable X + Y?

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Basic Statistics: Let nm v denote the normal random variable with mean m and
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