The probability density function (PDF) for a continuous uniform random variable is where a is the minimum support and b is the maximum support of the distribution.

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The random variable 2−3X is of the form aX+b, with a=−3 and b=2. Thus, Var(2−3X)=(−3)2Var(X)=9⋅2=18. Is it always true that $E[X^2]≥(E[X])^2$? We know ...

Abstract: In general many real time problems are represented with random variables. But a random variable is characterized by a Probability Density Function(PDF). As per the Central Limit Theorem any ...