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A population of values has a normal distribution with =231.6 and =45.5. You intend to draw a random sample of 41 items from this population.

A population of values has a normal distribution with =231.6 and =45.5. You intend to draw a random sample of 41 items from this population. Find the probability that the mean of this sample is less than 225.9.

Round your answer to at least three decimals.

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