Which of the following is not true for a random variable X that is uniformly distributed over the interval $$a \leq x \leq b$$?

A) E ( X ) = ( a + b ) / 2
B) =$V(X)=(b-a)^{2} / 12$
C) $ \sigma = ( b - a ) / 6$
D) f ( x ) = $\frac { 1 } { b - a } \text { if } a \leq x \leq b$

Question

Which of the following is not true for a random variable X that is uniformly distributed over the interval $$a \leq x \leq b$$?

A)  E ( X ) = ( a + b ) / 2
B)  =$V(X)=(b-a)^{2} / 12$ 
C) $ \sigma = ( b - a ) / 6$ 
 D)  f ( x ) = $\frac { 1 } { b - a } \text { if } a \leq x \leq b$

Quizplus · Accepted Answer

The standard deviation $\sigma$ for a uniform distribution is $(b-a)/\sqrt{12}$, not $(b-a)/6$.

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

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