An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf. x 16 18 20 p(x)       0.5     0.3     0.2   (d) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X − 0.009X2. What is the expected actual capacity of the freezer purchased by the next customer?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf.

x 16 18 20
p(x)       0.5     0.3     0.2  

(d) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X − 0.009X2. What is the expected actual capacity of the freezer purchased by the next customer?

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