(Solution) - Suppose that X has the normal distribution for which the -(2025 Original AI-Free Solution)

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Suppose that X has the normal distribution for which the mean is 1 and the variance is 4. Find the value of each of the following probabilities:
a. Pr(X ? 3)
b. Pr(X > 1.5)
c. Pr(X = 1)
d. Pr(2 < X < 5)
e. Pr(X ? 0)
f. Pr(?1 < X < 0.5)
g. Pr(|X| ? 2)
h. Pr(1 ? ?2X + 3 ? 8)