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A population of values has a normal distribution with ? = 154.9 and ? =...

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A population of values has a normal distribution with ? = 154.9 and ? = 81.7. You intend todraw a random sample of size n = 12.Find the probability that a single randomly selected value is less than 178.5.P(X < 178.5) =Find the probability that a sample of size n = 12 is randomly selected with a mean less than 178.5.P(M < 178.5) =Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z- scores or z-scores rounded to 3 decimal places are accepted.

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