Probability that the rounded result


Problem:

Measurement error that is normally distributed with a mean of 0 and a standard deviation of 0.5 grams is added to the true weight of a sample. Then the measurement is rounded to the nearest gram. Suppose that the true weight of a sample is 165.5 grams.

Requirement:

Question 1: What is the probability that the rounded result is 167 grams?

Question 2: What is the probability that the rounded result is 167 grams or more?

Note: Explain the solution in detail.

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Civil Engineering: Probability that the rounded result
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