Question: Determine the medians and lower and upper quartiles for random variables with the following cdfs: (i) FX(x) = 0 for x <

Determine the medians and lower and upper quartiles for random variables with the following cdf’s:

(i) FX(x) =

⎧

⎨

⎩

0 for x < 0 kx3 for 0 ≤ x ≤ 1/

√3 k, 1 for x > 1/

√3 k, k > 0

(ii) FX(x) =

0 for x < 0 1 − αe−x for x ≥ 0. (consider all possible α)

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