A population of values has a normal distribution with draw a random sample of size n = 4 decimal places. 58.2 and o = 71.2. You intend to 52. Please show your answers as numbers accurate to Find the probability that a single randomly selected value is greater than 38.5. P(X > 38.5) = Find the probability that a sample of size n = 52 is randomly selected with a mean greater than 38.5. P(E > 38.5) =

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A population of values has a normal distribution with \( \mu = 58.2 \) and \( \sigma = 71.2 \). You intend to draw a random sample of size \( n = 52 \). **Please show your answers as numbers accurate to 4 decimal places.**

Find the probability that a single randomly selected value is greater than 38.5.

\[ P(X > 38.5) = \]

Find the probability that a sample of size \( n = 52 \) is randomly selected with a mean greater than 38.5.

\[ P(\bar{x} > 38.5) = \]
Transcribed Image Text:A population of values has a normal distribution with \( \mu = 58.2 \) and \( \sigma = 71.2 \). You intend to draw a random sample of size \( n = 52 \). **Please show your answers as numbers accurate to 4 decimal places.** Find the probability that a single randomly selected value is greater than 38.5. \[ P(X > 38.5) = \] Find the probability that a sample of size \( n = 52 \) is randomly selected with a mean greater than 38.5. \[ P(\bar{x} > 38.5) = \]
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