A recording firm wants the distribution of lengths of cuts on its playlists to have an average of 135 sec and a standard deviation of 2.5 sec so that the radio disc jockeys have plenty of time for commercials within each 5-minute period. The population is normal. What is the probability that the average length of 4 cuts will be less than 130 if the population mean is 135 and the standard deviation is 2.5?

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  1. A recording firm wants the distribution of lengths of cuts on its playlists to have an average of 135 sec and a standard deviation of 2.5 sec so that the radio disc jockeys have plenty of time for commercials within each 5-minute period. The population is normal. What is the probability that the average length of 4 cuts will be less than 130 if the population mean is 135 and the standard deviation is 2.5?
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