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Let x be a continuous random variable that has a normal distribution with μ=85 and σ=12....

Let x be a continuous random variable that has a normal distribution with μ=85 and σ=12. Assuming nN≤0.05, find the probability that the sample mean, x¯, for a random sample of 24 taken from this population will be between 81.8 and 90.2.

Round your answer to four decimal places.

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