Calculate and plot the false alarm and miss probabilities

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Reference no: EM131083928

A wireless pressure sensor (buried in the ground) reports a discrete random variable X with range S_X = {0, 1,..., 20} to signal the presence of an object. Given an observation X and a threshold x0, we conclude that an object is present (hypothesis H₁) if X > x₀; otherwise we decide that no object is present (hypothesis H₀). Under hypothesis H_i, X has conditional PMF

Where p₀ = 0.99 and p₁ = 0.9. Calculate and plot the false alarm and miss probabilities as a function of the detection threshold x0. Calculate the discrete receiver operating curve (ROC) specified by x₀.

Reference no: EM131083928

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