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Mathematics, 19.02.2021 16:40 melindapeckens

A human resources manager keeps a record of how many years each employee at a large company has been working in their current role. The distribution of these years of experience are strongly skewed to the right with a mean of 3 years and a standard deviation of 2 years. Suppose we were to take a random sample of 4 employees and calculate the sample mean for their years of experience. We can assume independence between members in the sample. Required:
What is the probability that the mean years of experience from the sample of 4 employees x̄, is greater than 3.53.53, point, 5 years?

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