A satellite dish is being designed so that the probability of radio waves detected when the radio waves are present is 0.93. However, the satellite still falsely reports that radio waves are present with a probability of 0.05 if no radio wave is present. The probability that radio waves are presence, defined as P(R) is 0.02. Use Bayes' Theorem to find the probability that:

(a) no radio wave is present given that radio waves are detected. (b) radio waves are present given that no radio wave is detected. (c) no radio wave is present given that no radio wave is detected. Give all answers in four decimal places.