[[Category:gaussian random variable
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Practice Problem: Compare Probabilities for different Gaussians
A (one-dimensional) random variable X is normally distributed with mean equal to one and standard deviation equal to two. Another (one-dimensional) random variable Y is normally distributed with mean equal to minus one and standard deviation equal to three.
Is $ \text{Prob } ( 0 < X < 2) $ greater than $ \text{Prob } ( -2.5 < Y < 0.5) \text{ ?} $ Explain.
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Answer 1
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Answer 2
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Answer 3
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