Suppose that either of two instruments might be used for making a certain measurement. Instrument 1 yields
Question:
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Instrument 2 yields a measurement whose p.d.f. h2 is
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Suppose that one of the two instruments is chosen at random and a measurement X is made with it.
a. Determine the marginal p.d.f. of X.
b. If the value of the measurement is X = 1/4, what is the probability that instrument 1 was used?
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Step by Step Answer:
Let Y denote the instrument that is chosen Then PrY 1 PrY 2 12 In this exercise the distribut...View the full answer
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Related Book For 
Probability And Statistics
ISBN: 9780321500465
4th Edition
Authors: Morris H. DeGroot, Mark J. Schervish
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