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Answer :
the chance that the weight of a product is between 115 LB and 118 LB is approximately 0.1207, or 12.07%.
To find the probability that the weight of a product is between 115 LB and 118 LB, we can use the properties of the normal distribution.
Given that the weight of products follows a normal distribution with a mean (µ) of 120 LB and a standard deviation (σ) of 30 LB, we can standardize the values of 115 LB and 118 LB using the z-score formula:
z = (x - µ) / σ
For 115 LB:
z1 = (115 - 120) / 30 = -0.1667
For 118 LB:
z2 = (118 - 120) / 30 = -0.0667
Next, we can use a standard normal distribution table or a calculator to find the corresponding probabilities for these z-values.
Using a standard normal distribution table, the probability of having a z-value between -0.1667 and -0.0667 is approximately 0.1207.
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