Question: The p.d.f. is f(x) = 2x for 0 x 1. For the above p.d.f.'s, Check that the area under the curve is exactly

The p.d.f. is f(x) = 2x for 0 ≤ x ≤ 1.
For the above p.d.f.'s,
Check that the area under the curve is exactly 1.
Sketch a graph.
Indicate the maximum of the p.d.f., and explain why you are not worried that it is sometimes greater than 1.

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