QUESTION 7Compute the probability of error Pefor the MAPdecision rule. Enter your answer with three decimalplaces. For questions 1-7, assume theproblem is stated as follows: Wehave a binary detection problemwith two hypotheses: H and HWe observe a random variable y,0and we are given the conditionalprobabilities of y asY|Hf.Y|H1(y) = 0.5, y = [1,1]; 0 otherwise.(y) = 1 lyl, y = [1,1]; 0 otherwise.-0.5The two densities are shown in thefigures below.1614121OB0.60.4-0.20545120806041°02)05

The MAP decision rule chooses the hypothesis that has the highest a posteriori probability given the…

Answered: Compute the probability of error P for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Do people walk faster in the airport when they are departing (getting on a plane) or do they walk faster when they are arriving (getting off a plane)? A reputable researcher measured the walking speed of random travelers in two International Airports. His findings are summarized in the table. Complete parts (a)-(c) below. E Click the icon to view the findings. a muIVIQudiS WdIK ai OlmereIL speeus uepenungUII WITEUTE Uiey die oeparng of diTIViny di tTE u – V. I1ever of sigiIcance? Le y tepieseni me fmeal| speed of people departing and p, represent the mean speed of people arriving. State the null and alternative hypothesis. A. Ho H1=H2 OB. Ho P1 - 2 H1 H1 > H2 Determine the P-value for this hypothesis test. P-value (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. es

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Compute the probability of error P for the MAP e decision rule. Enter your answer with three decimal places.