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11. (5 pts) Suppose that you have a collection of songs on your phone. 20% of songs are by Arctic Monkeys, and 80% by other

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11. (5 pts) Suppose that you have a collection of songs on your phone. 20% of songs are by Arctic Monkeys, and 80% by other performers. If you pick a song randomly from Arctic Moneys songs, the probability that it is a good song is 0.95. For other performers, this probability is 0.80. You pick a song randomly, play it and the song turns out to be bad. What is the probability that you picked a song by Arctic Monkeys

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