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Question

A population of values has a normal distribution

with μ= 20.9 and σ= 39.3 You intend to draw a random sample of size n=44


Find the probability that a single randomly selected value is less than 12. 

P(X < 12)= ?



Find the probability that a sample of size n=44

is randomly selected with a mean less than 12. 

P(¯x < 12) = ?


Enter your answers as numbers accurate to 4 decimal places.

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