Question: 6. Suppose that n = 2m + 1 observations are taken at random from a population with probability density function f(x) = 0,

6. Suppose that n = 2m + 1 observations are taken at random from a population with probability density function f(x) =

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0, x≤ a 1

b−a, a b Find the distribution of the median of the observations and find its mean and variance.

What is the probability that the median will exceed a + (b − a)/4?

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