Question: A random sample of 81 items is selected from a population of size 350. What is the probability that the sample mean will exceed 198

A random sample of 81 items is selected from a population of size 350. What is the probability that the sample mean will exceed 198 if the population mean is 195 and the population standard deviation equals 25? (Hint: Use the finite population correction factor since the sample size is more than 5% of the population size)

P(x>198) round to four decimal

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