In a production lot of steel beams the length of a certain t

In a production lot of steel beams, the length of a certain type of steel beam is normally distributed with mean 5 feet and standard deviation 0.36 feet. What is the probability that the average length of 36 randomly selected steel beams will be exactly 5.072 feet?

Solution

P(sample mean = 5.072) = 0 because this is continuous distribution and probability at any point is zero.

In a production lot of steel beams, the length of a certain type of steel beam is normally distributed with mean 5 feet and standard deviation 0.36 feet. What i

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