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Answer :
The chance that the weight of the product is between 115 and 118 pounds is approximately 0.064.
In this case, we have:
z = (115 - 120) / 30 = -0.1667
z = (118 - 120) / 30 = -0.0667
Now we need to find the area under the standard normal curve between these two values. We can use a standard normal distribution table or a calculator to find this area.
Using a standard normal distribution table, we can look up the values of -0.1667 and -0.0667 and find the corresponding probabilities. We subtract the smaller probability from the larger one to get the area between the two values.
Using a calculator, we can use the cumulative distribution function (CDF) of the standard normal distribution to find the probability directly.
Either way, we get a probability of approximately 0.0641 or 0.0640, depending on the method used.
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