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Question 13. Consider the uniform distribution over the interval [a,b].
(a) The mean of this distribution depends on the length of the interval, but the variance does not
(b) The mean of this distribution does not depend on the length of the interval, but the variance does
(c) Neither the mean, nor the variance, of this distribution depends on the length of the interval
(d) The mean and the variance of this distribution depend on the length of the interval
Answer is stated as (b) but how is it not (d).
If the mean = (1/2)(a+b), doesn't it change depending on the change in (b-a) (the length?)?
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