A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours. If 25 children between the ages of 2 and 5 are randomly selected, [3a] find the probability that the mean of the number of hours they watch television will be greater than 27 hours. [3b] find the probability that the mean of the number of hours they watch television will be less than 24 hours. [3c] Use [3a] & [3b] to find the probability that the mean of the number of hours they watch television will be between 24 hours and 27 hours.
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