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A population of values has a normal distribution with μ=114.5μ=114.5 and σ=47σ=47. You intend to draw...

A population of values has a normal distribution with μ=114.5μ=114.5 and σ=47σ=47. You intend to draw a random sample of size n=147n=147.

Find the probability that a single randomly selected value is between 106.7 and 118.4.
P(106.7 < X < 118.4) =

Find the probability that a sample of size n=147n=147 is randomly selected with a mean between 106.7 and 118.4.
P(106.7 < M < 118.4) =

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decim

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