Linear Transformation of a Normal Variable
Let Z be a random variable with a standard normal distribution. For a new random variable defined as W = 3Z + 5, which of the following is equivalent to the probability P(W ≤ 8)?
A
P(W ≤ 8) = P(Z ≤ 8)
B
P(W ≤ 8) = P(Z ≤ 8/3)
C
P(W ≤ 8) = P(Z ≤ 1)
D
P(W ≤ 8) = P(Z ≤ 3)
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