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Question
A random variable X ~ N (0, 1). Find P(X > 0) and P(X < 0).
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Solution
Given X ∼ N(0, 1)
∴ μ = 0
∴ P(X > μ) = P(X > 0) = `1/2` as the distribution is symmetric about μ = 0.
P(X < μ ) = P(X < 0) = `1/2` as the distribution is symmetric about μ = 0.
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