Measurement error that is normally distributed with a mean of O and a standard deviation of 0.5 gram 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 165.6 grams. (a) What is the probability that the rounded result is 167 grams? Round your answer to three decimal places (e.g. 98.765). P = i (b) What is the probability that the rounded result is 167 grams or more? Round your answer to three decimal places (e.g. 98.765). P = i

MATLAB: An Introduction with Applications
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Measurement error that is normally distributed with a mean of 0 and a standard deviation of 0.5 gram 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 165.6 grams.
(a) What is the probability that the rounded result is 167 grams?
Round your answer to three decimal places (e.g. 98.765).
P =
i
(b) What is the probability that the rounded result is 167 grams or more?
Round your answer to three decimal places (e.g. 98.765).
P =
i
Transcribed Image Text:Measurement error that is normally distributed with a mean of 0 and a standard deviation of 0.5 gram 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 165.6 grams. (a) What is the probability that the rounded result is 167 grams? Round your answer to three decimal places (e.g. 98.765). P = i (b) What is the probability that the rounded result is 167 grams or more? Round your answer to three decimal places (e.g. 98.765). P = i
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