Which of the Following Is Not True for a Random $a \leq x \leq b$

question 70

Short Answer

Which of the following is not true for a random variable X that is uniformly distributed over the interval $a \leq x \leq b$ ? $\begin{array}{|l|l|}\hline A&E(X)=(a+b) / 2 \\\hline B&V(X)=(b-a)^{2} / 12\\\hline C&\sigma=(b-a) / 6\\\hline D&f(x)=\frac{1}{b-a} \text { if } a \leq x \leq b\\\hline \end{array}$

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Definitions:

Thoughts

Mental processes or ideas that occur in the mind, ranging from conscious reasoning to subconscious beliefs.

Conditioned Stimulus

A formerly neutral stimulus that, following its pairing with an unconditioned stimulus, ends up provoking a conditioned response.

Unconditioned Response

A natural, automatic reaction to a stimulus that occurs without prior learning or conditioning.

Conditioned Stimulus

A previously neutral stimulus that, after becoming associated with an unconditioned stimulus, is able to elicit a conditioned response on its own.