Let X 1 , . . . , X n be i.i.d. random variables with mean
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Let X1, . . . , Xn be i.i.d. random variables with mean μ and variance σ2. Let x̅ = (X1 + · · · + Xn)/n be the average.
(a) Find E[x̅|X1].
(b) Find V[ x̅ |X1].
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Evaluating manufacturing processes by designing and conducting research programs; applying knowledge of product design, fabrication, assembly, tooling, and materials; conferring with equipment vendors; soliciting observations from operators. Developing manufacturing processes by studying product requirements; researching, designing, modifying, and testing manufacturing methods and equipment; conferring with equipment vendors. Keeping equipment operational by coordinating maintenance and repair services; following manufacturer's instructions and established procedures; requesting special service.
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