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Mathematics, 25.12.2019 01:31 nicolasjarrin

The duration of a voice telephone call is an exponential random variable v with expected value e[v]=8 minutes, and the duration of data call is an exponential random variable d with expected value e[d] = d> 8 minutes. the null hypothesis is h0: a call is a voice call, while the alternative hypothesis is h1: a call is a data call. the probability of a voice call is p[v]=0.8, while the probability of a data call is p[d]=0.2.a binary hypothesis test measures t minutes, the duration of call. the decision is h0 if t≤t minutes. otherwise, the decision is h1.write the formula for the false alarm probability as a function of t and d.

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