Question: 4. (Integrals) We will use integrals to compute probabilities and expectations related to continuous quantities. (a) Express the area of the following shape in terms

4. (Integrals) We will use integrals to compute probabilities and expectations

related to continuous quantities. (a) Express the area of the following shape

4. (Integrals) We will use integrals to compute probabilities and expectations related to continuous quantities. (a) Express the area of the following shape in terms of an integral and solve it. Each of the four bounding curves are graphs of quadratic functions. As depicted, the bounding curve includes the points (0, 1), (1,0), and (1 /2, 1/4), and is symmetric about the 3: and y axes. 1 0.750.50.25 0 0.25 0.5 0.75 1

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