The random variable X is known to be uniformly distributed between 2 and 12 . Compute the standard deviation of X
a. 2.887
b. 3.464
c. 8.333
d. 12
a
RATIONALE: The variance of a random variable that is uniformly distributed is Var(X) = (b – a)2/12 = (12 – 2)2 = 12 = 8.333 . The standard deviation is the square root of the variance, so the standard deviation is 2.887.
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