Question: The density function of a continuous random variable X is f (x) = 3x 2 , 0 x 1. Sketch the graph of

The density function of a continuous random variable X is f (x) = 3x2, 0 ≤ x ≤ 1. Sketch the graph of f (x) and shade in the areas corresponding to 

(a) Pr (X ≤ .3); 

(b) Pr (.5 ≤ X ≤ .7);

(c) Pr (.8 ≤ X ).

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