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A random sample of twenty-five apples is obtained from a normal population distribution with a mean of 80 grams and a standard deviation of 5 grams. Another random sample of 36 apples is obtained from a population distribution having a mean of 75 grams and a standard deviation of 3 grams. Find the probability that the sampling mean from the first sample is bigger than the sampling mean from the second sample with at least 3.4 grams but less than 5.9 grams.

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# Probability (Normal population distribution)

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