Question: (3bookmarks) Let x have a density function f(x) = 1.5(1-x^2), for 0

(3bookmarks)

Letxhave a density function f(x) = 1.5(1-x^2), for 0 <= x <=1 andf(x) = 0 outside the interval [0, 1].

  1. Calculate the mean value ofx.
  2. Calculate the median for the distribution ofx.
  3. Compare your answers to part a) and part b), and comment on the shape of the distribution ofx.
  4. Calculate the standard deviation ofx.

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