Exercise 8: (Hard) Let us suppose that f is a probability density function, and f(x) = 0 if x < a or if x > b. Then show that the variance V can be computed as: x²f(x) dx – x² f(x) dx – E². xf(x) dx

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Exercise 8: (Hard) Let us suppose that f is a probability density function, and f(x) = 0 if x < a or if x > b.
Then show that the variance V can be computed as:
x²f(x) dx –
x² f(x) dx – E².
xf(x) dx
Transcribed Image Text:Exercise 8: (Hard) Let us suppose that f is a probability density function, and f(x) = 0 if x < a or if x > b. Then show that the variance V can be computed as: x²f(x) dx – x² f(x) dx – E². xf(x) dx
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