In an optical cornrr1unicatior1s system, the

Chapter 11, Problem 11.2

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In an optical cornrr1unicatior1s system, the p11otodetector Ol1 tpl1t is a Poisson randorr1 variable K , eit11er with an expected valtle of 10,000 photor1s (11ypothesis H. 0 ) or vvith an expected valt1e of 1,000,000 p11otons (h}rpot11esis H1 ) . Given t11at bot h hypotheses are equall}' lik:el}', design a JVIAP hypot11esis test t1 sing observed valt1es of random \rariable J(.

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