Question: 4-43. Given that a continuous random variable X has a cumulative distribution function of the form F(t) = 0 t < 0; t0.5

4-43. Given that a continuous random variable X has a cumulative distribution function of the form F(t) =

⎧⎪⎨

⎪⎩

0 t < 0;

t0.5 0 ≤ t ≤ 1;

1 t> 1, find the quartiles of X. That is, find:

(a) γ0.25

(b) γ0.50

(c) γ0.75 What is the quartile deviation of X?

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