I am having a problem finding E(X), Var(X) of a uniformly distributed variable. Can someone please help or correct me. The question and solution is below. Thanks
2026-03-30 06:30:37.1774852237
Finding $E(X)$ and $Var(X)$ of a uniformally distributed continuous variable
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There is a mistake in the calculation of the expected value. We have that $$ \int_b^{4b}x\frac1{3b}\mathrm dx=\frac1{3b}\biggl[\frac{x^2}{\color{red}2}\biggr]_b^{4b}=\frac{5b}{\color{red}2}. $$ This mistake makes the calculation of the variance also wrong.