Problem 4. For the normal distributed random variable X~ N(μ, o2), with the pdf 1 ƒ£x (x) = e 202 Verify that E[X] = μ and compute E[X²]. O√2π

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Problem 4. For the normal distributed random variable X ~ N(μ, o2), with the pdf
(x-μ)²
1
fx(x) = √220². Verify that E[X] = μ and compute E[X²].
e
Transcribed Image Text:Problem 4. For the normal distributed random variable X ~ N(μ, o2), with the pdf (x-μ)² 1 fx(x) = √220². Verify that E[X] = μ and compute E[X²]. e
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