10) Let f(x) by the probability density function of some continuous random variable. Explain why it must be true that [f(x) dx =1.

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A: The total probability is always 1. So, ∫-∞∞f(x)dx=1

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Q: Suppose that X is a normal random variable with parameters u = 5 and o = 1. Define Y = X2 – 10X +…

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