A poisonous gas sensor reports continuous random variable

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A poisonous gas sensor reports continuous random variable X. In the presence of toxic gases, hypothesis H1,

In the absence of dangerous gases, X has conditional PDF

Devise a hypothesis test that determines the presence of poisonous gases. Plot the false alarm and miss probabilities for the test as a function of the decision threshold. Lastly, plot the corresponding receiver operating curve

Reference no: EM131083937

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