A satellite dish is being designed so that the probability of radio waves detected when the radio waves are present is 0

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answerhappygod
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A satellite dish is being designed so that the probability of radio waves detected when the radio waves are present is 0

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A satellite dish is being designed so that the probability ofradio waves detected when the radio waves are present is 0.93.However, the satellite still falsely reports that radio waves arepresent with a probability of 0.05 if no radio wave is present. Theprobability that radio waves are presence, defined as P(R) is0.02. Use Bayes’ Theorem to find the probability that:
(a) no radio wave is present given that radio waves aredetected.
(b) radio waves are present given that no radio wave isdetected.
(c) no radio wave is present given that no radio wave isdetected.
Give all answers in four decimal places.
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