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A population of values has a normal distribution with μ=247 and σ= 62.2. You intend to draw a random sample of size n=16.
a) Find the probability that a single randomly selected value is greater than 295.2.
P(X > 295.2) =____
b) Find the probability that a sample of size n= 16 is randomly selected with a mean greater than 295.2.
P(M > 295.2) = ____
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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