A wireless pressure sensor (buried in the ground) reports

Chapter 11, Problem 11.36

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A wireless pressure sensor (buried in the ground) reports a discrete random variable X with range Sx = {1, 2, . .. , 20} to signal the presence of an object. Given an observation X and a threshold xo, we decide that an object is present (hypothesis H1) if X >::ea; other,vise we decide that no object is present (hypothesis Ho). under hypothesis Hi, X has conditional PlVIF where Po = 0.99 and P1 = 0.9. Calculate and plot the false alarm and miss probabilities as a function of the detection threshold xo. Calculate the discrete receiver operating curve (ROC) specified by xo.

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