Consider the continuous random variable, X, defined by the quantile function: Please see image with number 1 (a) Find the cumulative distribution function of X, F(x) = Pr(X ≤ x), and the range of possi- ble values X can take. (b) Find E(X). You must validate the assumptions behind any rules you apply. Note that you may find it useful to know that: Please see image with number 2 (c) Calculate the interquartile range of X; that is, the difference between the upper and lower quartiles.

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