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Salaries for government accountants are normally distributed with a mean = $71420 and a standard deviation = $20865. If 17 government accountants are randomly selected,

Salaries for government accountants are normally distributed with a mean = $71420 and a standard deviation = $20865.

If 17 government accountants are randomly selected, what is the probability the average salary is at least $75000?

Write the probability question in terms of the random variable, in terms of z, and round off the probability to 4 decimal places.

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