Question: The weight of First Grade students is represented by a random variable \(X\) with \(\mu=40\) \(\mathrm{lbs}\) and \(\sigma=3 \mathrm{lbs}\). If a sample of 36 students is obtained, their weights measured, and the average \((\bar{x})\) weight is calculated, Find:

1. Probability that \(\bar{x}\) is less than 39 lbs
2. Probability that \(\bar{x}\) is between 38 and 42 lbs
3. Probability that \(\bar{x}\) is greater than \(40.5 \mathrm{lbs}\).

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